409799373984 has 768 divisors, whose sum is σ = 1660248576000. Its totient is φ = 94859735040.

The previous prime is 409799373979. The next prime is 409799374021. The reversal of 409799373984 is 489373997904.

It is a happy number.

409799373984 is a `hidden beast` number, since 4 + 0 + 97 + 99 + 373 + 9 + 84 = 666.

409799373984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25072887 + ... + 25089225.

It is an arithmetic number, because the mean of its divisors is an integer number (2161782000).

Almost surely, 2^409799373984 is an apocalyptic number.

409799373984 is a gapful number since it is divisible by the number (44) 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 409799373984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830124288000).

409799373984 is an abundant number, since it is smaller than the sum of its proper divisors (1250449202016).

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

409799373984 is a wasteful number, since it uses less digits than its factorization.

409799373984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16418 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 409799373984 in words is "four hundred nine billion, seven hundred ninety-nine million, three hundred seventy-three thousand, nine hundred eighty-four".