404836612784704 has 189 divisors, whose sum is σ = 823900867715289. Its totient is φ = 197368128322560.

The previous prime is 404836612784699. The next prime is 404836612784713. The reversal of 404836612784704 is 407487216638404.

It is a happy number.

The square root of 404836612784704 is 20120552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 229804982862400 + 175031629922304 = 15159320^2 + 13229952^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1539302710077 + ... + 1539302710339.

Almost surely, 2^{404836612784704} is an apocalyptic number.

404836612784704 is the 20120552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404836612784704

404836612784704 is an abundant number, since it is smaller than the sum of its proper divisors (419064254930585).

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

404836612784704 is an frugal number, since it uses more digits than its factorization.

404836612784704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 64.

404836612784704 divided by its sum of digits (64) gives a square (6325572074761 = 2515069²).

The spelling of 404836612784704 in words is "four hundred four trillion, eight hundred thirty-six billion, six hundred twelve million, seven hundred eighty-four thousand, seven hundred four".