400623616400 has 120 divisors (see below), whose sum is σ = 1100476065024. Its totient is φ = 137296972800.

The previous prime is 400623616391. The next prime is 400623616429. The reversal of 400623616400 is 4616326004.

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, 6670505 + ... + 6730295.

Almost surely, 2^400623616400 is an apocalyptic number.

400623616400 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 400623616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550238032512).

400623616400 is an abundant number, since it is smaller than the sum of its proper divisors (699852448624).

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

400623616400 is a wasteful number, since it uses less digits than its factorization.

400623616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62209 (or 62198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 400623616400 in words is "four hundred billion, six hundred twenty-three million, six hundred sixteen thousand, four hundred".