40687252366336 has 99 divisors (see below), whose sum is σ = 82920391903363. Its totient is φ = 19954477137920.

The previous prime is 40687252366331. The next prime is 40687252366337. The reversal of 40687252366336 is 63366325278604.

The square root of 40687252366336 is 6378656.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1225537561600 + 39461714804736 = 1107040^2 + 6281856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40687252366331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10818198696 + ... + 10818202456.

Almost surely, 2^{40687252366336} is an apocalyptic number.

40687252366336 is the 6378656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40687252366336

40687252366336 is an abundant number, since it is smaller than the sum of its proper divisors (42233139537027).

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

40687252366336 is an frugal number, since it uses more digits than its factorization.

40687252366336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 61.

The spelling of 40687252366336 in words is "forty trillion, six hundred eighty-seven billion, two hundred fifty-two million, three hundred sixty-six thousand, three hundred thirty-six".