408305440797696 has 704 divisors, whose sum is σ = 1381552934092800. Its totient is φ = 118082791636992.

The previous prime is 408305440797671. The next prime is 408305440797707. The reversal of 408305440797696 is 696797044503804.

It is a happy number.

408305440797696 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 0 + 5 + 440 + 7 + 97 + 6 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 867054721 + ... + 867525503.

Almost surely, 2^{408305440797696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408305440797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690776467046400).

408305440797696 is an abundant number, since it is smaller than the sum of its proper divisors (973247493295104).

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

408305440797696 is a wasteful number, since it uses less digits than its factorization.

408305440797696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470971 (or 470947 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 408305440797696 in words is "four hundred eight trillion, three hundred five billion, four hundred forty million, seven hundred ninety-seven thousand, six hundred ninety-six".