399977278272 has 336 divisors, whose sum is σ = 1360257050880. Its totient is φ = 110771712000.

The previous prime is 399977278271. The next prime is 399977278301. The reversal of 399977278272 is 272872779993.

399977278272 is a `hidden beast` number, since 399 + 9 + 77 + 27 + 82 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 399977278272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399977278271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8295129 + ... + 8343207.

It is an arithmetic number, because the mean of its divisors is an integer number (4048384080).

Almost surely, 2^399977278272 is an apocalyptic number.

399977278272 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 399977278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680128525440).

399977278272 is an abundant number, since it is smaller than the sum of its proper divisors (960279772608).

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

399977278272 is a wasteful number, since it uses less digits than its factorization.

399977278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48222 (or 48209 counting only the distinct ones).

The product of its digits is 336063168, while the sum is 72.

The spelling of 399977278272 in words is "three hundred ninety-nine billion, nine hundred seventy-seven million, two hundred seventy-eight thousand, two hundred seventy-two".