11409255360 has 336 divisors, whose sum is σ = 40456896480. Its totient is φ = 2949488640.

The previous prime is 11409255359. The next prime is 11409255367. The reversal of 11409255360 is 6355290411.

11409255360 is a `hidden beast` number, since 1 + 1 + 40 + 9 + 2 + 553 + 60 = 666.

It is a super-2 number, since 2×11409255360² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11409255367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22414786 + ... + 22415294.

It is an arithmetic number, because the mean of its divisors is an integer number (120407430).

Almost surely, 2^11409255360 is an apocalyptic number.

11409255360 is a gapful number since it is divisible by the number (10) 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 11409255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228448240).

11409255360 is an abundant number, since it is smaller than the sum of its proper divisors (29047641120).

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

11409255360 is a wasteful number, since it uses less digits than its factorization.

11409255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11409255360 in words is "eleven billion, four hundred nine million, two hundred fifty-five thousand, three hundred sixty".