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41221232640 = 211335719259
BaseRepresentation
bin100110011000111110…
…100001100000000000
310221101210000120202000
4212120332201200000
51133410113421030
630534202024000
72656333460550
oct463076414000
9127353016660
1041221232640
1116533347215
127ba4aa8000
133b6c09c223
141dd0867160
151113d18860
hex998fa1800

41221232640 has 1152 divisors, whose sum is σ = 179734464000. Its totient is φ = 8774811648.

The previous prime is 41221232629. The next prime is 41221232669. The reversal of 41221232640 is 4623212214.

41221232640 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 12 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×412212326402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698664931 + ... + 698664989.

It is an arithmetic number, because the mean of its divisors is an integer number (156019500).

Almost surely, 241221232640 is an apocalyptic number.

41221232640 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 41221232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232000).

41221232640 is an abundant number, since it is smaller than the sum of its proper divisors (138513231360).

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

41221232640 is a wasteful number, since it uses less digits than its factorization.

41221232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41221232640 its reverse (4623212214), we get a palindrome (45844444854).

The spelling of 41221232640 in words is "forty-one billion, two hundred twenty-one million, two hundred thirty-two thousand, six hundred forty".