40718641405456 has 135 divisors (see below), whose sum is σ = 92177626830471. Its totient is φ = 17374196351232.

The previous prime is 40718641405397. The next prime is 40718641405469. The reversal of 40718641405456 is 65450414681704.

It is a happy number.

The square root of 40718641405456 is 6381116.

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 60368490000 + 40658272915456 = 245700^2 + 6376384^2 .

It is a super-2 number, since 2×40718641405456² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40718641405397 and 40718641405406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62356265226 + ... + 62356265878.

Almost surely, 2^{40718641405456} is an apocalyptic number.

40718641405456 is the 6381116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40718641405456

40718641405456 is an abundant number, since it is smaller than the sum of its proper divisors (51458985425015).

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

40718641405456 is an frugal number, since it uses more digits than its factorization.

40718641405456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 40718641405456 in words is "forty trillion, seven hundred eighteen billion, six hundred forty-one million, four hundred five thousand, four hundred fifty-six".