408151431696960 has 3360 divisors, whose sum is σ = 1892590475212800. Its totient is φ = 82731344855040.

The previous prime is 408151431696923. The next prime is 408151431696997. The reversal of 408151431696960 is 69696134151804.

408151431696960 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 51 + 431 + 6 + 96 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (408151431696923) and next prime (408151431696997).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 78355042836 + ... + 78355048044.

Almost surely, 2^{408151431696960} is an apocalyptic number.

408151431696960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408151431696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946295237606400).

408151431696960 is an abundant number, since it is smaller than the sum of its proper divisors (1484439043515840).

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

408151431696960 is a wasteful number, since it uses less digits than its factorization.

408151431696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 408151431696960 in words is "four hundred eight trillion, one hundred fifty-one billion, four hundred thirty-one million, six hundred ninety-six thousand, nine hundred sixty".