399630672000 has 2560 divisors, whose sum is σ = 1848337920000. Its totient is φ = 85349376000.

The previous prime is 399630671977. The next prime is 399630672019. The reversal of 399630672000 is 276036993.

399630672000 is a `hidden beast` number, since 3 + 9 + 9 + 630 + 6 + 7 + 2 + 0 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 12891311985 + ... + 12891312015.

It is an arithmetic number, because the mean of its divisors is an integer number (722007000).

Almost surely, 2^399630672000 is an apocalyptic number.

399630672000 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 399630672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924168960000).

399630672000 is an abundant number, since it is smaller than the sum of its proper divisors (1448707248000).

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

399630672000 is an equidigital number, since it uses as much as digits as its factorization.

399630672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 399630672000 in words is "three hundred ninety-nine billion, six hundred thirty million, six hundred seventy-two thousand".