40961764100 has 72 divisors (see below), whose sum is σ = 89448649920. Its totient is φ = 16281473920.

The previous prime is 40961764093. The next prime is 40961764127. The reversal of 40961764100 is 146716904.

It is a happy number.

It is a super-2 number, since 2×40961764100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14685506 + ... + 14688294.

It is an arithmetic number, because the mean of its divisors is an integer number (1242342360).

Almost surely, 2^40961764100 is an apocalyptic number.

It is an amenable number.

40961764100 is an abundant number, since it is smaller than the sum of its proper divisors (48486885820).

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

40961764100 is a wasteful number, since it uses less digits than its factorization.

40961764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 40961764100 in words is "forty billion, nine hundred sixty-one million, seven hundred sixty-four thousand, one hundred".