399027633840 has 720 divisors, whose sum is σ = 1519184328480. Its totient is φ = 93745766400.

The previous prime is 399027633793. The next prime is 399027633863. The reversal of 399027633840 is 48336720993.

399027633840 is a `hidden beast` number, since 39 + 9 + 0 + 276 + 338 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×399027633840² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410944555 + ... + 410945525.

It is an arithmetic number, because the mean of its divisors is an integer number (2109978234).

Almost surely, 2^399027633840 is an apocalyptic number.

399027633840 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 399027633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759592164240).

399027633840 is an abundant number, since it is smaller than the sum of its proper divisors (1120156694640).

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

399027633840 is a wasteful number, since it uses less digits than its factorization.

399027633840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 399027633840 in words is "three hundred ninety-nine billion, twenty-seven million, six hundred thirty-three thousand, eight hundred forty".