408111434896 has 45 divisors (see below), whose sum is σ = 869193877363. Its totient is φ = 185492420960.

The previous prime is 408111434891. The next prime is 408111434953. The reversal of 408111434896 is 698434111804.

The square root of 408111434896 is 638836.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408111434891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28101525 + ... + 28116043.

Almost surely, 2^408111434896 is an apocalyptic number.

408111434896 is the 638836-th square number.

It is an amenable number.

408111434896 is an abundant number, since it is smaller than the sum of its proper divisors (461082442467).

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

408111434896 is an frugal number, since it uses more digits than its factorization.

408111434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29068 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

Multiplying 408111434896 by its sum of digits (49), we get a square (19997460309904 = 4471852²).

The spelling of 408111434896 in words is "four hundred eight billion, one hundred eleven million, four hundred thirty-four thousand, eight hundred ninety-six".