400350053004 has 36 divisors (see below), whose sum is σ = 1026793114872. Its totient is φ = 121318197440.

The previous prime is 400350052997. The next prime is 400350053029.

It is a happy number.

400350053004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137860137 + ... + 137863040.

Almost surely, 2^400350053004 is an apocalyptic number.

400350053004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400350053004 is an abundant number, since it is smaller than the sum of its proper divisors (626443061868).

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

400350053004 is a wasteful number, since it uses less digits than its factorization.

400350053004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275723206 (or 275723193 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

It can be divided in two parts, 4003500 and 53004, that added together give a palindrome (4056504).

The spelling of 400350053004 in words is "four hundred billion, three hundred fifty million, fifty-three thousand, four".