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41161141232640 = 21035511131731439
BaseRepresentation
bin10010101101111100100110…
…01100111010010000000000
312101201222002201000012200000
421112332103030322100000
520343341004123421030
6223313100042400000
711445536310502602
oct1126762314722000
9171658081005600
1041161141232640
111212a3841800a0
12474937ab00000
1319c762c3894b0
14a242d1c29172
154b5a681ed860
hex256f9333a400

41161141232640 has 4224 divisors, whose sum is σ = 190350892892160. Its totient is φ = 8370310348800.

The previous prime is 41161141232581. The next prime is 41161141232677. The reversal of 41161141232640 is 4623214116114.

41161141232640 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 1 + 1 + 4 + 1 + 2 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41161141232595 and 41161141232604.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93761141541 + ... + 93761141979.

It is an arithmetic number, because the mean of its divisors is an integer number (45064131840).

Almost surely, 241161141232640 is an apocalyptic number.

41161141232640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41161141232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95175446446080).

41161141232640 is an abundant number, since it is smaller than the sum of its proper divisors (149189751659520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41161141232640 is a wasteful number, since it uses less digits than its factorization.

41161141232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 41161141232640 its reverse (4623214116114), we get a palindrome (45784355348754).

The spelling of 41161141232640 in words is "forty-one trillion, one hundred sixty-one billion, one hundred forty-one million, two hundred thirty-two thousand, six hundred forty".