409535791560 has 1024 divisors, whose sum is σ = 1702010880000. Its totient is φ = 85465497600.

The previous prime is 409535791549. The next prime is 409535791619. The reversal of 409535791560 is 65197535904.

409535791560 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 3 + 5 + 79 + 1 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 409535791497 and 409535791506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 912106216 + ... + 912106664.

It is an arithmetic number, because the mean of its divisors is an integer number (1662120000).

Almost surely, 2^409535791560 is an apocalyptic number.

409535791560 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 409535791560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851005440000).

409535791560 is an abundant number, since it is smaller than the sum of its proper divisors (1292475088440).

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

409535791560 is a wasteful number, since it uses less digits than its factorization.

409535791560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 409535791560 in words is "four hundred nine billion, five hundred thirty-five million, seven hundred ninety-one thousand, five hundred sixty".