400946112000 has 1920 divisors, whose sum is σ = 1784525783040. Its totient is φ = 87787929600.

The previous prime is 400946111921. The next prime is 400946112131. The reversal of 400946112000 is 211649004.

400946112000 is a `hidden beast` number, since 40 + 0 + 9 + 4 + 611 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3157055937 + ... + 3157056063.

It is an arithmetic number, because the mean of its divisors is an integer number (929440512).

Almost surely, 2^400946112000 is an apocalyptic number.

400946112000 is a gapful number since it is divisible by the number (40) 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 400946112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892262891520).

400946112000 is an abundant number, since it is smaller than the sum of its proper divisors (1383579671040).

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

400946112000 is an equidigital number, since it uses as much as digits as its factorization.

400946112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 400946112000 in words is "four hundred billion, nine hundred forty-six million, one hundred twelve thousand".