399969250560 has 864 divisors, whose sum is σ = 1562191263360. Its totient is φ = 93649305600.

The previous prime is 399969250543. The next prime is 399969250579. The reversal of 399969250560 is 65052969993.

399969250560 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 69 + 2 + 5 + 0 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456064842 + ... + 456065718.

It is an arithmetic number, because the mean of its divisors is an integer number (1808091740).

Almost surely, 2^399969250560 is an apocalyptic number.

399969250560 is a gapful number since it is divisible by the number (30) 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 399969250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781095631680).

399969250560 is an abundant number, since it is smaller than the sum of its proper divisors (1162222012800).

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

399969250560 is a wasteful number, since it uses less digits than its factorization.

399969250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 399969250560 in words is "three hundred ninety-nine billion, nine hundred sixty-nine million, two hundred fifty thousand, five hundred sixty".