399429571380840 has 1024 divisors, whose sum is σ = 1788241867776000. Its totient is φ = 76588790906880.

The previous prime is 399429571380739. The next prime is 399429571380841. The reversal of 399429571380840 is 48083175924993.

399429571380840 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 2 + 9 + 571 + 3 + 8 + 0 + 8 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (399429571380841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3391289071 + ... + 3391406849.

It is an arithmetic number, because the mean of its divisors is an integer number (1746329949000).

Almost surely, 2^{399429571380840} is an apocalyptic number.

399429571380840 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 399429571380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894120933888000).

399429571380840 is an abundant number, since it is smaller than the sum of its proper divisors (1388812296395160).

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

399429571380840 is a wasteful number, since it uses less digits than its factorization.

399429571380840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120967 (or 120957 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 399429571380840 in words is "three hundred ninety-nine trillion, four hundred twenty-nine billion, five hundred seventy-one million, three hundred eighty thousand, eight hundred forty".