405053350504 has 64 divisors (see below), whose sum is σ = 832094208000. Its totient is φ = 183321232320.

The previous prime is 405053350469. The next prime is 405053350529.

405053350504 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 405053350504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66628537 + ... + 66634615.

It is an arithmetic number, because the mean of its divisors is an integer number (13001472000).

Almost surely, 2^405053350504 is an apocalyptic number.

405053350504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405053350504 is an abundant number, since it is smaller than the sum of its proper divisors (427040857496).

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

405053350504 is a wasteful number, since it uses less digits than its factorization.

405053350504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

It can be divided in two parts, 405053 and 350504, that added together give a palindrome (755557).

The spelling of 405053350504 in words is "four hundred five billion, fifty-three million, three hundred fifty thousand, five hundred four".