11309917357440 has 1536 divisors, whose sum is σ = 47463484723200. Its totient is φ = 2452669857792.

The previous prime is 11309917357381. The next prime is 11309917357451. The reversal of 11309917357440 is 4475371990311.

It is a happy number.

11309917357440 is a `hidden beast` number, since 1 + 13 + 0 + 9 + 9 + 17 + 3 + 574 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1376065651 + ... + 1376073869.

It is an arithmetic number, because the mean of its divisors is an integer number (30900706200).

Almost surely, 2^{11309917357440} is an apocalyptic number.

11309917357440 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 11309917357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23731742361600).

11309917357440 is an abundant number, since it is smaller than the sum of its proper divisors (36153567365760).

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

11309917357440 is a wasteful number, since it uses less digits than its factorization.

11309917357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 11309917357440 in words is "eleven trillion, three hundred nine billion, nine hundred seventeen million, three hundred fifty-seven thousand, four hundred forty".