400806875952 has 480 divisors, whose sum is σ = 1375393219200. Its totient is φ = 106357063680.

The previous prime is 400806875947. The next prime is 400806876017. The reversal of 400806875952 is 259578608004.

400806875952 is a `hidden beast` number, since 40 + 0 + 8 + 0 + 6 + 8 + 7 + 595 + 2 = 666.

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, 869429002 + ... + 869429462.

It is an arithmetic number, because the mean of its divisors is an integer number (2865402540).

Almost surely, 2^400806875952 is an apocalyptic number.

400806875952 is a gapful number since it is divisible by the number (42) 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 400806875952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687696609600).

400806875952 is an abundant number, since it is smaller than the sum of its proper divisors (974586343248).

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

400806875952 is a wasteful number, since it uses less digits than its factorization.

400806875952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 400806875952 in words is "four hundred billion, eight hundred six million, eight hundred seventy-five thousand, nine hundred fifty-two".