409540755456 has 320 divisors, whose sum is σ = 1387138896000. Its totient is φ = 116983332864.

The previous prime is 409540755443. The next prime is 409540755473. The reversal of 409540755456 is 654557045904.

409540755456 is a `hidden beast` number, since 4 + 0 + 9 + 540 + 7 + 55 + 45 + 6 = 666.

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 15 ways as a sum of consecutive naturals, for example, 99088366 + ... + 99092498.

It is an arithmetic number, because the mean of its divisors is an integer number (4334809050).

Almost surely, 2^409540755456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409540755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693569448000).

409540755456 is an abundant number, since it is smaller than the sum of its proper divisors (977598140544).

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

409540755456 is an frugal number, since it uses more digits than its factorization.

409540755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 409540755456 in words is "four hundred nine billion, five hundred forty million, seven hundred fifty-five thousand, four hundred fifty-six".