400623243554688 has 768 divisors, whose sum is σ = 1380938056081920. Its totient is φ = 99965258956800.

The previous prime is 400623243554621. The next prime is 400623243554689. The reversal of 400623243554688 is 886455342326004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400623243554689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3892782720 + ... + 3892885632.

It is an arithmetic number, because the mean of its divisors is an integer number (1798096427190).

Almost surely, 2^{400623243554688} is an apocalyptic number.

400623243554688 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 400623243554688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690469028040960).

400623243554688 is an abundant number, since it is smaller than the sum of its proper divisors (980314812527232).

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

400623243554688 is a wasteful number, since it uses less digits than its factorization.

400623243554688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103147 (or 103104 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 60.

The spelling of 400623243554688 in words is "four hundred trillion, six hundred twenty-three billion, two hundred forty-three million, five hundred fifty-four thousand, six hundred eighty-eight".