409976800000 has 216 divisors, whose sum is σ = 1025750878992. Its totient is φ = 163530240000.

The previous prime is 409976799997. The next prime is 409976800007. The reversal of 409976800000 is 8679904.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 409976800000.

It is not an unprimeable number, because it can be changed into a prime (409976800007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514399602 + ... + 514400398.

It is an arithmetic number, because the mean of its divisors is an integer number (4748846662).

Almost surely, 2^409976800000 is an apocalyptic number.

409976800000 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 409976800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512875439496).

409976800000 is an abundant number, since it is smaller than the sum of its proper divisors (615774078992).

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

409976800000 is an frugal number, since it uses more digits than its factorization.

409976800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 409976800000 in words is "four hundred nine billion, nine hundred seventy-six million, eight hundred thousand".