399344964480 has 1024 divisors, whose sum is σ = 1793581056000. Its totient is φ = 81558282240.

The previous prime is 399344964479. The next prime is 399344964547. The reversal of 399344964480 is 84469443993.

399344964480 is a `hidden beast` number, since 3 + 9 + 93 + 4 + 4 + 9 + 64 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78500497 + ... + 78505583.

It is an arithmetic number, because the mean of its divisors is an integer number (1751544000).

Almost surely, 2^399344964480 is an apocalyptic number.

399344964480 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 399344964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896790528000).

399344964480 is an abundant number, since it is smaller than the sum of its proper divisors (1394236091520).

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

399344964480 is a wasteful number, since it uses less digits than its factorization.

399344964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 399344964480 in words is "three hundred ninety-nine billion, three hundred forty-four million, nine hundred sixty-four thousand, four hundred eighty".