399533713920 has 1920 divisors, whose sum is σ = 1705330851840. Its totient is φ = 88318771200.

The previous prime is 399533713919. The next prime is 399533713927. The reversal of 399533713920 is 29317335993.

399533713920 is a `hidden beast` number, since 3 + 9 + 9 + 533 + 7 + 13 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (399533713927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5963189727 + ... + 5963189793.

It is an arithmetic number, because the mean of its divisors is an integer number (888193152).

Almost surely, 2^399533713920 is an apocalyptic number.

399533713920 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 399533713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852665425920).

399533713920 is an abundant number, since it is smaller than the sum of its proper divisors (1305797137920).

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

399533713920 is a wasteful number, since it uses less digits than its factorization.

399533713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4133430, while the sum is 54.

The spelling of 399533713920 in words is "three hundred ninety-nine billion, five hundred thirty-three million, seven hundred thirteen thousand, nine hundred twenty".