41696557056000 has 2880 divisors, whose sum is σ = 195796718208000. Its totient is φ = 8658026496000.

The previous prime is 41696557055999. The next prime is 41696557056079. The reversal of 41696557056000 is 65075569614.

41696557056000 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 6 + 5 + 5 + 70 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29804543301 + ... + 29804544699.

It is an arithmetic number, because the mean of its divisors is an integer number (67984971600).

Almost surely, 2^{41696557056000} is an apocalyptic number.

41696557056000 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 41696557056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97898359104000).

41696557056000 is an abundant number, since it is smaller than the sum of its proper divisors (154100161152000).

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

41696557056000 is a wasteful number, since it uses less digits than its factorization.

41696557056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 41696557056000 in words is "forty-one trillion, six hundred ninety-six billion, five hundred fifty-seven million, fifty-six thousand".