408299478572160 has 960 divisors, whose sum is σ = 1785442446216000. Its totient is φ = 88413711224832.

The previous prime is 408299478572159. The next prime is 408299478572171. The reversal of 408299478572160 is 61275874992804.

It is a happy number.

408299478572160 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 9 + 9 + 47 + 8 + 572 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44033101 + ... + 52492979.

It is an arithmetic number, because the mean of its divisors is an integer number (1859835881475).

Almost surely, 2^{408299478572160} is an apocalyptic number.

408299478572160 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 408299478572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892721223108000).

408299478572160 is an abundant number, since it is smaller than the sum of its proper divisors (1377142967643840).

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

408299478572160 is a wasteful number, since it uses less digits than its factorization.

408299478572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459943 (or 8459915 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 408299478572160 in words is "four hundred eight trillion, two hundred ninety-nine billion, four hundred seventy-eight million, five hundred seventy-two thousand, one hundred sixty".