400407942144 has 264 divisors, whose sum is σ = 1270367348448. Its totient is φ = 111739944960.

The previous prime is 400407942097. The next prime is 400407942163. The reversal of 400407942144 is 441249704004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6441774 + ... + 6503634.

It is an arithmetic number, because the mean of its divisors is an integer number (4811997532).

Almost surely, 2^400407942144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400407942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635183674224).

400407942144 is an abundant number, since it is smaller than the sum of its proper divisors (869959406304).

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

400407942144 is a wasteful number, since it uses less digits than its factorization.

400407942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61941 (or 61916 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 400407942144 in words is "four hundred billion, four hundred seven million, nine hundred forty-two thousand, one hundred forty-four".