399105691689024 has 672 divisors, whose sum is σ = 1266442498189440. Its totient is φ = 119603080396800.

The previous prime is 399105691689013. The next prime is 399105691689097. The reversal of 399105691689024 is 420986196501993.

399105691689024 is a `hidden beast` number, since 39 + 9 + 1 + 0 + 569 + 1 + 6 + 8 + 9 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12313120242 + ... + 12313152654.

Almost surely, 2^{399105691689024} is an apocalyptic number.

399105691689024 is a gapful number since it is divisible by the number (34) 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 399105691689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633221249094720).

399105691689024 is an abundant number, since it is smaller than the sum of its proper divisors (867336806500416).

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

399105691689024 is a wasteful number, since it uses less digits than its factorization.

399105691689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32939 (or 32926 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 399105691689024 in words is "three hundred ninety-nine trillion, one hundred five billion, six hundred ninety-one million, six hundred eighty-nine thousand, twenty-four".