400933379840 has 576 divisors, whose sum is σ = 1202303692800. Its totient is φ = 125076897792.

The previous prime is 400933379797. The next prime is 400933379851. The reversal of 400933379840 is 48973339004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436270901 + ... + 436271819.

It is an arithmetic number, because the mean of its divisors is an integer number (2087332800).

Almost surely, 2^400933379840 is an apocalyptic number.

400933379840 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 400933379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601151846400).

400933379840 is an abundant number, since it is smaller than the sum of its proper divisors (801370312960).

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

400933379840 is a wasteful number, since it uses less digits than its factorization.

400933379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The spelling of 400933379840 in words is "four hundred billion, nine hundred thirty-three million, three hundred seventy-nine thousand, eight hundred forty".