400670882906112 has 1920 divisors, whose sum is σ = 1494741917061120. Its totient is φ = 104557789052928.

The previous prime is 400670882906087. The next prime is 400670882906123. The reversal of 400670882906112 is 211609288076004.

It is a happy number.

400670882906112 is a `hidden beast` number, since 400 + 6 + 7 + 0 + 8 + 82 + 90 + 61 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 335851535788 + ... + 335851536980.

It is an arithmetic number, because the mean of its divisors is an integer number (778511415136).

Almost surely, 2^{400670882906112} is an apocalyptic number.

400670882906112 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 400670882906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747370958530560).

400670882906112 is an abundant number, since it is smaller than the sum of its proper divisors (1094071034155008).

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

400670882906112 is an equidigital number, since it uses as much as digits as its factorization.

400670882906112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 400670882906112 in words is "four hundred trillion, six hundred seventy billion, eight hundred eighty-two million, nine hundred six thousand, one hundred twelve".