409253644800 has 2880 divisors, whose sum is σ = 2065049078400. Its totient is φ = 78498201600.

The previous prime is 409253644739. The next prime is 409253644829. The reversal of 409253644800 is 8446352904.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31481049594 + ... + 31481049606.

It is an arithmetic number, because the mean of its divisors is an integer number (717030930).

Almost surely, 2^409253644800 is an apocalyptic number.

409253644800 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 409253644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032524539200).

409253644800 is an abundant number, since it is smaller than the sum of its proper divisors (1655795433600).

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

409253644800 is a wasteful number, since it uses less digits than its factorization.

409253644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 409253644800 in words is "four hundred nine billion, two hundred fifty-three million, six hundred forty-four thousand, eight hundred".