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41000496641280 = 2834511271191241
BaseRepresentation
bin10010101001010001011000…
…00010011011010100000000
312101011121110002212102120000
421110220230002123110000
520333223004120010110
6223111211303320000
711431121346140361
oct1124505402332400
9171147402772500
1041000496641280
1112078238522a00
124722207450000
1319b543a710687
14a1a612881b68
154b17b4d861c0
hex254a2c09b500

41000496641280 has 2160 divisors, whose sum is σ = 165066237794304. Its totient is φ = 9707765760000.

The previous prime is 41000496641171. The next prime is 41000496641287. The reversal of 41000496641280 is 8214669400014.

41000496641280 is a `hidden beast` number, since 4 + 10 + 0 + 0 + 496 + 64 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×410004966412802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000496641287) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 170126541960 + ... + 170126542200.

Almost surely, 241000496641280 is an apocalyptic number.

41000496641280 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 41000496641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82533118897152).

41000496641280 is an abundant number, since it is smaller than the sum of its proper divisors (124065741153024).

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

41000496641280 is a wasteful number, since it uses less digits than its factorization.

41000496641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41000496641280 in words is "forty-one trillion, four hundred ninety-six million, six hundred forty-one thousand, two hundred eighty".