399050451072 has 1024 divisors, whose sum is σ = 1490347622400. Its totient is φ = 102335643648.

The previous prime is 399050451043. The next prime is 399050451077. The reversal of 399050451072 is 270154050993.

It is a happy number.

399050451072 is a `hidden beast` number, since 3 + 9 + 90 + 504 + 51 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (399050451077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3142129473 + ... + 3142129599.

It is an arithmetic number, because the mean of its divisors is an integer number (1455417600).

Almost surely, 2^399050451072 is an apocalyptic number.

399050451072 is a gapful number since it is divisible by the number (32) 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 399050451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745173811200).

399050451072 is an abundant number, since it is smaller than the sum of its proper divisors (1091297171328).

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

399050451072 is a wasteful number, since it uses less digits than its factorization.

399050451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 399050451072 in words is "three hundred ninety-nine billion, fifty million, four hundred fifty-one thousand, seventy-two".