399933146016 has 72 divisors (see below), whose sum is σ = 1165049183844. Its totient is φ = 130059555840.

The previous prime is 399933145999. The next prime is 399933146017. The reversal of 399933146016 is 610641339993.

399933146016 is a `hidden beast` number, since 3 + 99 + 93 + 3 + 1 + 460 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398186240400 + 1746905616 = 631020^2 + 41796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×399933146016³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (399933146017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16923031 + ... + 16946646.

Almost surely, 2^399933146016 is an apocalyptic number.

399933146016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

399933146016 is an abundant number, since it is smaller than the sum of its proper divisors (765116037828).

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

399933146016 is a wasteful number, since it uses less digits than its factorization.

399933146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33869734 (or 33869723 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 399933146016 in words is "three hundred ninety-nine billion, nine hundred thirty-three million, one hundred forty-six thousand, sixteen".