409491210240 has 1520 divisors, whose sum is σ = 1827035337600. Its totient is φ = 85614133248.

The previous prime is 409491210179. The next prime is 409491210253. The reversal of 409491210240 is 42012194904.

409491210240 is a `hidden beast` number, since 409 + 4 + 9 + 1 + 2 + 1 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 409491210195 and 409491210204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14120386546 + ... + 14120386574.

Almost surely, 2^409491210240 is an apocalyptic number.

409491210240 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 409491210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913517668800).

409491210240 is an abundant number, since it is smaller than the sum of its proper divisors (1417544127360).

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

409491210240 is an frugal number, since it uses more digits than its factorization.

409491210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 409491210240 in words is "four hundred nine billion, four hundred ninety-one million, two hundred ten thousand, two hundred forty".