405042240504 has 64 divisors (see below), whose sum is σ = 1107078186240. Its totient is φ = 122471458560.

The previous prime is 405042240503. The next prime is 405042240529.

405042240504 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405042240503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557964 + ... + 1799259.

It is an arithmetic number, because the mean of its divisors is an integer number (17298096660).

Almost surely, 2^405042240504 is an apocalyptic number.

405042240504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405042240504 is an abundant number, since it is smaller than the sum of its proper divisors (702035945736).

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

405042240504 is a wasteful number, since it uses less digits than its factorization.

405042240504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357700 (or 3357696 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 405042 and 240504, that added together give a palindrome (645546).

The spelling of 405042240504 in words is "four hundred five billion, forty-two million, two hundred forty thousand, five hundred four".