40531863863296 has 153 divisors (see below), whose sum is σ = 87824305607619. Its totient is φ = 18697235202048.

The previous prime is 40531863863233. The next prime is 40531863863311. The reversal of 40531863863296 is 69236836813504.

The square root of 40531863863296 is 6366464.

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 29331357696 + 40502532505600 = 171264^2 + 6364160^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 21187591236 + ... + 21187593148.

Almost surely, 2^{40531863863296} is an apocalyptic number.

40531863863296 is the 6366464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40531863863296

40531863863296 is an abundant number, since it is smaller than the sum of its proper divisors (47292441744323).

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

40531863863296 is an frugal number, since it uses more digits than its factorization.

40531863863296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 64.

40531863863296 divided by its sum of digits (64) gives a square (633310372864 = 795808²).

The spelling of 40531863863296 in words is "forty trillion, five hundred thirty-one billion, eight hundred sixty-three million, eight hundred sixty-three thousand, two hundred ninety-six".