400434031120 has 40 divisors (see below), whose sum is σ = 940048065216. Its totient is φ = 158618525568.

The previous prime is 400434031069. The next prime is 400434031139. The reversal of 400434031120 is 21130434004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 400434031091 and 400434031100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24289942 + ... + 24306421.

Almost surely, 2^400434031120 is an apocalyptic number.

400434031120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400434031120 is an abundant number, since it is smaller than the sum of its proper divisors (539614034096).

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

400434031120 is a wasteful number, since it uses less digits than its factorization.

400434031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48596479 (or 48596473 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 400434031120 its reverse (21130434004), we get a palindrome (421564465124).

The spelling of 400434031120 in words is "four hundred billion, four hundred thirty-four million, thirty-one thousand, one hundred twenty".