11746041120 has 576 divisors, whose sum is σ = 47201253120. Its totient is φ = 2720931840.

The previous prime is 11746041077. The next prime is 11746041161. The reversal of 11746041120 is 2114064711.

11746041120 is a `hidden beast` number, since 1 + 174 + 60 + 411 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12022072 + ... + 12023048.

It is an arithmetic number, because the mean of its divisors is an integer number (81946620).

Almost surely, 2^11746041120 is an apocalyptic number.

11746041120 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 11746041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23600626560).

11746041120 is an abundant number, since it is smaller than the sum of its proper divisors (35455212000).

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

11746041120 is a wasteful number, since it uses less digits than its factorization.

11746041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11746041120 in words is "eleven billion, seven hundred forty-six million, forty-one thousand, one hundred twenty".