11345622440 has 64 divisors (see below), whose sum is σ = 26448973200. Its totient is φ = 4374945792.

The previous prime is 11345622403. The next prime is 11345622467. The reversal of 11345622440 is 4422654311.

It can be written as a sum of positive squares in 8 ways, for example, as 4433695396 + 6911927044 = 66586^2 + 83138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11345622397 and 11345622406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773414 + ... + 787946.

Almost surely, 2^11345622440 is an apocalyptic number.

11345622440 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 11345622440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224486600).

11345622440 is an abundant number, since it is smaller than the sum of its proper divisors (15103350760).

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

11345622440 is a wasteful number, since it uses less digits than its factorization.

11345622440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15246 (or 15242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 11345622440 in words is "eleven billion, three hundred forty-five million, six hundred twenty-two thousand, four hundred forty".