11312404440 has 128 divisors (see below), whose sum is σ = 34475051520. Its totient is φ = 2968985600.

The previous prime is 11312404409. The next prime is 11312404567. The reversal of 11312404440 is 4440421311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11312404440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9294712 + ... + 9295928.

It is an arithmetic number, because the mean of its divisors is an integer number (269336340).

Almost surely, 2^11312404440 is an apocalyptic number.

11312404440 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 11312404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237525760).

11312404440 is an abundant number, since it is smaller than the sum of its proper divisors (23162647080).

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

11312404440 is a wasteful number, since it uses less digits than its factorization.

11312404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11312404440 its reverse (4440421311), we get a palindrome (15752825751).

The spelling of 11312404440 in words is "eleven billion, three hundred twelve million, four hundred four thousand, four hundred forty".