405269864117604 has 144 divisors (see below), whose sum is σ = 1064224976855040. Its totient is φ = 129942542001600.

The previous prime is 405269864117563. The next prime is 405269864117621. The reversal of 405269864117604 is 406711468962504.

405269864117604 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 6 + 9 + 8 + 6 + 4 + 1 + 17 + 604 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403902157 + ... + 404904299.

It is an arithmetic number, because the mean of its divisors is an integer number (7390451228160).

Almost surely, 2^{405269864117604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405269864117604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532112488427520).

405269864117604 is an abundant number, since it is smaller than the sum of its proper divisors (658955112737436).

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

405269864117604 is a wasteful number, since it uses less digits than its factorization.

405269864117604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006310 (or 1006305 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 405269864117604 in words is "four hundred five trillion, two hundred sixty-nine billion, eight hundred sixty-four million, one hundred seventeen thousand, six hundred four".