399938964480 has 1408 divisors, whose sum is σ = 1670697861120. Its totient is φ = 90773913600.

The previous prime is 399938964473. The next prime is 399938964517. The reversal of 399938964480 is 84469839993.

399938964480 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 3 + 89 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a junction number, because it is equal to n+sod(n) for n = 399938964399 and 399938964408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2093921185 + ... + 2093921375.

Almost surely, 2^399938964480 is an apocalyptic number.

399938964480 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 399938964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835348930560).

399938964480 is an abundant number, since it is smaller than the sum of its proper divisors (1270758896640).

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

399938964480 is a wasteful number, since it uses less digits than its factorization.

399938964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 399938964480 in words is "three hundred ninety-nine billion, nine hundred thirty-eight million, nine hundred sixty-four thousand, four hundred eighty".