40076836864 has 171 divisors, whose sum is σ = 89008728277. Its totient is φ = 18039701504.

The previous prime is 40076836843. The next prime is 40076836871. The reversal of 40076836864 is 46863867004.

It is a happy number.

The square root of 40076836864 is 200192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31201689600 + 8875147264 = 176640^2 + 94208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1742471157 + ... + 1742471179.

Almost surely, 2^40076836864 is an apocalyptic number.

40076836864 is the 200192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40076836864

40076836864 is an abundant number, since it is smaller than the sum of its proper divisors (48931891413).

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

40076836864 is an frugal number, since it uses more digits than its factorization.

40076836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 40076836864 in words is "forty billion, seventy-six million, eight hundred thirty-six thousand, eight hundred sixty-four".