409925376000 has 864 divisors, whose sum is σ = 1719263931840. Its totient is φ = 93671424000.

The previous prime is 409925375929. The next prime is 409925376019. The reversal of 409925376000 is 673529904.

It is a happy number.

409925376000 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 2 + 5 + 37 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112894185 + ... + 112897815.

It is an arithmetic number, because the mean of its divisors is an integer number (1989888810).

Almost surely, 2^409925376000 is an apocalyptic number.

409925376000 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 409925376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859631965920).

409925376000 is an abundant number, since it is smaller than the sum of its proper divisors (1309338555840).

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

409925376000 is a wasteful number, since it uses less digits than its factorization.

409925376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 409925376000 in words is "four hundred nine billion, nine hundred twenty-five million, three hundred seventy-six thousand".