41960096962560 has 1152 divisors, whose sum is σ = 177201198720000. Its totient is φ = 9386675601408.

The previous prime is 41960096962559. The next prime is 41960096962633. The reversal of 41960096962560 is 6526969006914.

41960096962560 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 0 + 0 + 9 + 6 + 9 + 62 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636700491 + ... + 636766389.

It is an arithmetic number, because the mean of its divisors is an integer number (153820485000).

Almost surely, 2^{41960096962560} is an apocalyptic number.

41960096962560 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 41960096962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88600599360000).

41960096962560 is an abundant number, since it is smaller than the sum of its proper divisors (135241101757440).

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

41960096962560 is a wasteful number, since it uses less digits than its factorization.

41960096962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65996 (or 65963 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 41960096962560 in words is "forty-one trillion, nine hundred sixty billion, ninety-six million, nine hundred sixty-two thousand, five hundred sixty".