11747160040 has 256 divisors, whose sum is σ = 33867072000. Its totient is φ = 3635251200.

The previous prime is 11747160023. The next prime is 11747160041. The reversal of 11747160040 is 4006174711.

It is a junction number, because it is equal to n+sod(n) for n = 11747159984 and 11747160011.

It is not an unprimeable number, because it can be changed into a prime (11747160041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41804700 + ... + 41804980.

It is an arithmetic number, because the mean of its divisors is an integer number (132293250).

Almost surely, 2^11747160040 is an apocalyptic number.

11747160040 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 11747160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933536000).

11747160040 is an abundant number, since it is smaller than the sum of its proper divisors (22119911960).

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

11747160040 is a wasteful number, since it uses less digits than its factorization.

11747160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 11747160040 in words is "eleven billion, seven hundred forty-seven million, one hundred sixty thousand, forty".