409869968904 has 96 divisors (see below), whose sum is σ = 1222969587840. Its totient is φ = 122973264000.

The previous prime is 409869968903. The next prime is 409869968927.

It is a happy number.

409869968904 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×409869968904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (409869968903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481952 + ... + 2641935.

It is an arithmetic number, because the mean of its divisors is an integer number (12739266540).

Almost surely, 2^409869968904 is an apocalyptic number.

409869968904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

409869968904 is an abundant number, since it is smaller than the sum of its proper divisors (813099618936).

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

409869968904 is a wasteful number, since it uses less digits than its factorization.

409869968904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124011 (or 5124004 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 409869968904 in words is "four hundred nine billion, eight hundred sixty-nine million, nine hundred sixty-eight thousand, nine hundred four".