11641942266120 has 384 divisors, whose sum is σ = 40593493699200. Its totient is φ = 2884610506752.

The previous prime is 11641942266109. The next prime is 11641942266161. The reversal of 11641942266120 is 2166224914611.

11641942266120 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 9 + 4 + 2 + 26 + 612 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1987694232 + ... + 1987700088.

It is an arithmetic number, because the mean of its divisors is an integer number (105712223175).

Almost surely, 2^{11641942266120} is an apocalyptic number.

11641942266120 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 11641942266120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296746849600).

11641942266120 is an abundant number, since it is smaller than the sum of its proper divisors (28951551433080).

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

11641942266120 is a wasteful number, since it uses less digits than its factorization.

11641942266120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11641942266120 in words is "eleven trillion, six hundred forty-one billion, nine hundred forty-two million, two hundred sixty-six thousand, one hundred twenty".