11917031040 has 768 divisors, whose sum is σ = 46558512000. Its totient is φ = 2902376448.

The previous prime is 11917031017. The next prime is 11917031047. The reversal of 11917031040 is 4013071911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11917030995 and 11917031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917031047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109330506 + ... + 109330614.

Almost surely, 2^11917031040 is an apocalyptic number.

11917031040 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 11917031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279256000).

11917031040 is an abundant number, since it is smaller than the sum of its proper divisors (34641480960).

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

11917031040 is a wasteful number, since it uses less digits than its factorization.

11917031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11917031040 in words is "eleven billion, nine hundred seventeen million, thirty-one thousand, forty".