408135974400 has 1920 divisors, whose sum is σ = 1911913344000. Its totient is φ = 84536524800.

The previous prime is 408135974399. The next prime is 408135974423. The reversal of 408135974400 is 4479531804.

408135974400 is a `hidden beast` number, since 4 + 0 + 8 + 13 + 597 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1303948644 + ... + 1303948956.

It is an arithmetic number, because the mean of its divisors is an integer number (995788200).

Almost surely, 2^408135974400 is an apocalyptic number.

408135974400 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 408135974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955956672000).

408135974400 is an abundant number, since it is smaller than the sum of its proper divisors (1503777369600).

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

408135974400 is a wasteful number, since it uses less digits than its factorization.

408135974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 408135974400 in words is "four hundred eight billion, one hundred thirty-five million, nine hundred seventy-four thousand, four hundred".