409430840896 has 112 divisors (see below), whose sum is σ = 1015865920512. Its totient is φ = 159058137600.

The previous prime is 409430840879. The next prime is 409430840927. The reversal of 409430840896 is 698048034904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×409430840896² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590301 + ... + 1829731.

Almost surely, 2^409430840896 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 409430840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507932960256).

409430840896 is an abundant number, since it is smaller than the sum of its proper divisors (606435079616).

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

409430840896 is a wasteful number, since it uses less digits than its factorization.

409430840896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239808 (or 239798 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 409430840896 in words is "four hundred nine billion, four hundred thirty million, eight hundred forty thousand, eight hundred ninety-six".