11418188040 has 384 divisors, whose sum is σ = 45186336000. Its totient is φ = 2440986624.

The previous prime is 11418188017. The next prime is 11418188053. The reversal of 11418188040 is 4088181411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11418187986 and 11418188004.

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, 7667616 + ... + 7669104.

It is an arithmetic number, because the mean of its divisors is an integer number (117672750).

Almost surely, 2^11418188040 is an apocalyptic number.

11418188040 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 11418188040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593168000).

11418188040 is an abundant number, since it is smaller than the sum of its proper divisors (33768147960).

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

11418188040 is a wasteful number, since it uses less digits than its factorization.

11418188040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 11418188040 in words is "eleven billion, four hundred eighteen million, one hundred eighty-eight thousand, forty".