399363909120 has 960 divisors, whose sum is σ = 1586125981440. Its totient is φ = 91968307200.

The previous prime is 399363909079. The next prime is 399363909121. The reversal of 399363909120 is 21909363993.

It is a happy number.

399363909120 is a `hidden beast` number, since 3 + 99 + 363 + 90 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399363909121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492433515 + ... + 492434325.

It is an arithmetic number, because the mean of its divisors is an integer number (1652214564).

Almost surely, 2^399363909120 is an apocalyptic number.

399363909120 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 399363909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793062990720).

399363909120 is an abundant number, since it is smaller than the sum of its proper divisors (1186762072320).

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

399363909120 is a wasteful number, since it uses less digits than its factorization.

399363909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 399363909120 in words is "three hundred ninety-nine billion, three hundred sixty-three million, nine hundred nine thousand, one hundred twenty".