409032809640 has 1024 divisors, whose sum is σ = 1726421760000. Its totient is φ = 85593231360.

The previous prime is 409032809557. The next prime is 409032809651. The reversal of 409032809640 is 46908230904.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 756067770 + ... + 756068310.

It is an arithmetic number, because the mean of its divisors is an integer number (1685958750).

Almost surely, 2^409032809640 is an apocalyptic number.

409032809640 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 409032809640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863210880000).

409032809640 is an abundant number, since it is smaller than the sum of its proper divisors (1317388950360).

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

409032809640 is a wasteful number, since it uses less digits than its factorization.

409032809640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 409032809640 in words is "four hundred nine billion, thirty-two million, eight hundred nine thousand, six hundred forty".