399916214880 has 768 divisors, whose sum is σ = 1588742055936. Its totient is φ = 82312888320.

The previous prime is 399916214813. The next prime is 399916214881. The reversal of 399916214880 is 88412619993.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399916214881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525513700 + ... + 525514460.

It is an arithmetic number, because the mean of its divisors is an integer number (2068674552).

Almost surely, 2^399916214880 is an apocalyptic number.

399916214880 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 399916214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794371027968).

399916214880 is an abundant number, since it is smaller than the sum of its proper divisors (1188825841056).

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

399916214880 is a wasteful number, since it uses less digits than its factorization.

399916214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 399916214880 in words is "three hundred ninety-nine billion, nine hundred sixteen million, two hundred fourteen thousand, eight hundred eighty".