409159798336 has 63 divisors (see below), whose sum is σ = 834849839187. Its totient is φ = 198958602240.

The previous prime is 409159798303. The next prime is 409159798349. The reversal of 409159798336 is 633897951904.

The square root of 409159798336 is 639656.

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

It can be written as a sum of positive squares in 4 ways, for example, as 124157569600 + 285002228736 = 352360^2 + 533856^2 .

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 8 ways as a sum of consecutive naturals, for example, 189337096 + ... + 189339256.

It is an arithmetic number, because the mean of its divisors is an integer number (13251584749).

Almost surely, 2^409159798336 is an apocalyptic number.

409159798336 is the 639656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409159798336

409159798336 is an abundant number, since it is smaller than the sum of its proper divisors (425690040851).

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

409159798336 is an frugal number, since it uses more digits than its factorization.

409159798336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

Multiplying 409159798336 by its sum of digits (64), we get a square (26186227093504 = 5117248²).

409159798336 divided by its sum of digits (64) gives a square (6393121849 = 79957²).

The spelling of 409159798336 in words is "four hundred nine billion, one hundred fifty-nine million, seven hundred ninety-eight thousand, three hundred thirty-six".