400434404112 has 80 divisors (see below), whose sum is σ = 1149479494080. Its totient is φ = 133468328448.

The previous prime is 400434404093. The next prime is 400434404137. The reversal of 400434404112 is 211404434004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8098248 + ... + 8147544.

It is an arithmetic number, because the mean of its divisors is an integer number (14368493676).

Almost surely, 2^400434404112 is an apocalyptic number.

It is an amenable number.

400434404112 is an abundant number, since it is smaller than the sum of its proper divisors (749045089968).

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

400434404112 is a wasteful number, since it uses less digits than its factorization.

400434404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68117 (or 68105 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 400434404112 its reverse (211404434004), we get a palindrome (611838838116).

It can be divided in two parts, 400434 and 404112, that added together give a triangular number (804546 = T₁₂₆₈).

The spelling of 400434404112 in words is "four hundred billion, four hundred thirty-four million, four hundred four thousand, one hundred twelve".