11356813440 has 256 divisors, whose sum is σ = 45968544000. Its totient is φ = 2595815424.

The previous prime is 11356813381. The next prime is 11356813459. The reversal of 11356813440 is 4431865311.

11356813440 is a `hidden beast` number, since 1 + 135 + 6 + 81 + 3 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11356813395 and 11356813404.

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, 74016 + ... + 167904.

It is an arithmetic number, because the mean of its divisors is an integer number (179564625).

Almost surely, 2^11356813440 is an apocalyptic number.

11356813440 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 11356813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22984272000).

11356813440 is an abundant number, since it is smaller than the sum of its proper divisors (34611730560).

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

11356813440 is an equidigital number, since it uses as much as digits as its factorization.

11356813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93924 (or 93906 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11356813440 in words is "eleven billion, three hundred fifty-six million, eight hundred thirteen thousand, four hundred forty".