400442632865040 has 160 divisors (see below), whose sum is σ = 1243491152008320. Its totient is φ = 106602499289088.

The previous prime is 400442632864949. The next prime is 400442632865083. The reversal of 400442632865040 is 40568236244004.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 680465646 + ... + 681053874.

It is an arithmetic number, because the mean of its divisors is an integer number (7771819700052).

Almost surely, 2^{400442632865040} is an apocalyptic number.

400442632865040 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 400442632865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621745576004160).

400442632865040 is an abundant number, since it is smaller than the sum of its proper divisors (843048519143280).

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

400442632865040 is a wasteful number, since it uses less digits than its factorization.

400442632865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593081 (or 593075 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 400442632865040 in words is "four hundred trillion, four hundred forty-two billion, six hundred thirty-two million, eight hundred sixty-five thousand, forty".