399272217600 has 264 divisors, whose sum is σ = 1320965585728. Its totient is φ = 106363699200.

The previous prime is 399272217557. The next prime is 399272217607. The reversal of 399272217600 is 6712272993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 399272217600.

It is not an unprimeable number, because it can be changed into a prime (399272217607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99146787 + ... + 99150813.

Almost surely, 2^399272217600 is an apocalyptic number.

399272217600 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 399272217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660482792864).

399272217600 is an abundant number, since it is smaller than the sum of its proper divisors (921693368128).

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

399272217600 is a wasteful number, since it uses less digits than its factorization.

399272217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 399272217600 in words is "three hundred ninety-nine billion, two hundred seventy-two million, two hundred seventeen thousand, six hundred".