40431895697664 has 567 divisors, whose sum is σ = 124373154407089. Its totient is φ = 13111958384640.

The previous prime is 40431895697591. The next prime is 40431895697693. The reversal of 40431895697664 is 46679659813404.

The square root of 40431895697664 is 6358608.

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

40431895697664 is a `hidden beast` number, since 4 + 0 + 43 + 18 + 9 + 569 + 7 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1948235307264 + 38483660390400 = 1395792^2 + 6203520^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40431895697592 and 40431895697601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 112623664717 + ... + 112623665075.

Almost surely, 2^{40431895697664} is an apocalyptic number.

40431895697664 is the 6358608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40431895697664

40431895697664 is an abundant number, since it is smaller than the sum of its proper divisors (83941258709425).

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

40431895697664 is an frugal number, since it uses more digits than its factorization.

40431895697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 40431895697664 in words is "forty trillion, four hundred thirty-one billion, eight hundred ninety-five million, six hundred ninety-seven thousand, six hundred sixty-four".