409436160000 has 1140 divisors, whose sum is σ = 1680457275288. Its totient is φ = 88080384000.

The previous prime is 409436159987. The next prime is 409436160019. The reversal of 409436160000 is 61634904.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24084479992 + ... + 24084480008.

Almost surely, 2^409436160000 is an apocalyptic number.

409436160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409436160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840228637644).

409436160000 is an abundant number, since it is smaller than the sum of its proper divisors (1271021115288).

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

409436160000 is an frugal number, since it uses more digits than its factorization.

409436160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 409436160000 its reverse (61634904), we get a palindrome (409497794904).

The spelling of 409436160000 in words is "four hundred nine billion, four hundred thirty-six million, one hundred sixty thousand".