400437842448 has 160 divisors (see below), whose sum is σ = 1234121011200. Its totient is φ = 109394385408.

The previous prime is 400437842411. The next prime is 400437842449. The reversal of 400437842448 is 844248734004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400437842397 and 400437842406.

It is not an unprimeable number, because it can be changed into a prime (400437842449) by changing a digit.

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, 23786098 + ... + 23802926.

It is an arithmetic number, because the mean of its divisors is an integer number (7713256320).

Almost surely, 2^400437842448 is an apocalyptic number.

400437842448 is a gapful number since it is divisible by the number (48) 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 400437842448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617060505600).

400437842448 is an abundant number, since it is smaller than the sum of its proper divisors (833683168752).

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

400437842448 is a wasteful number, since it uses less digits than its factorization.

400437842448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19949 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 48.

The spelling of 400437842448 in words is "four hundred billion, four hundred thirty-seven million, eight hundred forty-two thousand, four hundred forty-eight".