41960772000 has 576 divisors, whose sum is σ = 171101548800. Its totient is φ = 9539942400.

The previous prime is 41960771971. The next prime is 41960772011. The reversal of 41960772000 is 27706914.

It is a happy number.

41960772000 is a `hidden beast` number, since 41 + 9 + 607 + 7 + 2 + 0 + 0 + 0 = 666.

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

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, 67787691 + ... + 67788309.

It is an arithmetic number, because the mean of its divisors is an integer number (297051300).

Almost surely, 2^41960772000 is an apocalyptic number.

41960772000 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 41960772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85550774400).

41960772000 is an abundant number, since it is smaller than the sum of its proper divisors (129140776800).

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

41960772000 is a wasteful number, since it uses less digits than its factorization.

41960772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 41960772000 in words is "forty-one billion, nine hundred sixty million, seven hundred seventy-two thousand".