409444976004 has 96 divisors (see below), whose sum is σ = 1005709824000. Its totient is φ = 129459017856.

The previous prime is 409444975997. The next prime is 409444976009. The reversal of 409444976004 is 400679444904.

It is a super-2 number, since 2×409444976004² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409444976009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37424367 + ... + 37435305.

It is an arithmetic number, because the mean of its divisors is an integer number (10476144000).

Almost surely, 2^409444976004 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 409444976004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502854912000).

409444976004 is an abundant number, since it is smaller than the sum of its proper divisors (596264847996).

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

409444976004 is a wasteful number, since it uses less digits than its factorization.

409444976004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12857 (or 12855 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 409444976004 in words is "four hundred nine billion, four hundred forty-four million, nine hundred seventy-six thousand, four".