11190794034240 has 560 divisors, whose sum is σ = 40111994748672. Its totient is φ = 2961455468544.

The previous prime is 11190794034223. The next prime is 11190794034269. The reversal of 11190794034240 is 4243049709111.

11190794034240 is a `hidden beast` number, since 1 + 11 + 90 + 79 + 403 + 42 + 40 = 666.

It is a super-3 number, since 3×11190794034240³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3172891357 + ... + 3172894883.

Almost surely, 2^{11190794034240} is an apocalyptic number.

11190794034240 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 11190794034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055997374336).

11190794034240 is an abundant number, since it is smaller than the sum of its proper divisors (28921200714432).

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

11190794034240 is a wasteful number, since it uses less digits than its factorization.

11190794034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11190794034240 in words is "eleven trillion, one hundred ninety billion, seven hundred ninety-four million, thirty-four thousand, two hundred forty".