400424379012 has 720 divisors, whose sum is σ = 1334194291584. Its totient is φ = 102207744000.

The previous prime is 400424378999. The next prime is 400424379049. The reversal of 400424379012 is 210973424004.

400424379012 is a `hidden beast` number, since 400 + 4 + 243 + 7 + 9 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×400424379012² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3742283863 + ... + 3742283969.

Almost surely, 2^400424379012 is an apocalyptic number.

400424379012 is a gapful number since it is divisible by the number (42) 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 400424379012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667097145792).

400424379012 is an abundant number, since it is smaller than the sum of its proper divisors (933769912572).

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

400424379012 is a wasteful number, since it uses less digits than its factorization.

400424379012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 400424379012 in words is "four hundred billion, four hundred twenty-four million, three hundred seventy-nine thousand, twelve".