399777888777993 has 48 divisors (see below), whose sum is σ = 651062610714880. Its totient is φ = 242266482960480.

The previous prime is 399777888777983. The next prime is 399777888778039.

399777888777993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 399777888777993 - 2⁵ = 399777888777961 is a prime.

It is a super-2 number, since 2×399777888777993² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (399777888777983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28388496 + ... + 40068222.

Almost surely, 2^{399777888777993} is an apocalyptic number.

399777888777993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

399777888777993 is a deficient number, since it is larger than the sum of its proper divisors (251284721936887).

399777888777993 is a wasteful number, since it uses less digits than its factorization.

399777888777993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690235 (or 11690218 counting only the distinct ones).

The product of its digits is 3556892570112, while the sum is 108.

The spelling of 399777888777993 in words is "three hundred ninety-nine trillion, seven hundred seventy-seven billion, eight hundred eighty-eight million, seven hundred seventy-seven thousand, nine hundred ninety-three".