409056888240 has 2520 divisors, whose sum is σ = 1979228008800. Its totient is φ = 78460462080.

The previous prime is 409056888203. The next prime is 409056888263. The reversal of 409056888240 is 42888650904.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 31465914474 + ... + 31465914486.

It is an arithmetic number, because the mean of its divisors is an integer number (785407940).

Almost surely, 2^409056888240 is an apocalyptic number.

409056888240 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 409056888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989614004400).

409056888240 is an abundant number, since it is smaller than the sum of its proper divisors (1570171120560).

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

409056888240 is a wasteful number, since it uses less digits than its factorization.

409056888240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 409056888240 in words is "four hundred nine billion, fifty-six million, eight hundred eighty-eight thousand, two hundred forty".