1640315439504 has 405 divisors, whose sum is σ = 5436712030113. Its totient is φ = 460331569152.

The previous prime is 1640315439487. The next prime is 1640315439557. The reversal of 1640315439504 is 4059345130461.

The square root of 1640315439504 is 1280748.

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

1640315439504 is a `hidden beast` number, since 1 + 6 + 403 + 154 + 3 + 95 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397429376400 + 1242886063104 = 630420^2 + 1114848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1640315439504.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8499043632 + ... + 8499043824.

Almost surely, 2^{1640315439504} is an apocalyptic number.

1640315439504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1640315439504 is the 1280748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640315439504

1640315439504 is an abundant number, since it is smaller than the sum of its proper divisors (3796396590609).

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

1640315439504 is an equidigital number, since it uses as much as digits as its factorization.

1640315439504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1640315439504 in words is "one trillion, six hundred forty billion, three hundred fifteen million, four hundred thirty-nine thousand, five hundred four".