11786107492440 has 256 divisors, whose sum is σ = 41056017868800. Its totient is φ = 3004552922112.

The previous prime is 11786107492433. The next prime is 11786107492451. The reversal of 11786107492440 is 4429470168711.

11786107492440 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 6 + 107 + 4 + 92 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517237 + ... + 4882596.

It is an arithmetic number, because the mean of its divisors is an integer number (160375069800).

Almost surely, 2^{11786107492440} is an apocalyptic number.

11786107492440 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 11786107492440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528008934400).

11786107492440 is an abundant number, since it is smaller than the sum of its proper divisors (29269910376360).

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

11786107492440 is a wasteful number, since it uses less digits than its factorization.

11786107492440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399943 (or 5399933 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11786107492440 in words is "eleven trillion, seven hundred eighty-six billion, one hundred seven million, four hundred ninety-two thousand, four hundred forty".