18114035940 has 1536 divisors, whose sum is σ = 83235962880. Its totient is φ = 3147724800.

The previous prime is 18114035911. The next prime is 18114035977. The reversal of 18114035940 is 4953041181.

18114035940 is a `hidden beast` number, since 18 + 11 + 40 + 3 + 594 + 0 = 666.

It is a super-2 number, since 2×18114035940² (a number of 21 digits) contains 22 as substring.

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 = 18114035895 and 18114035904.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 385404997 + ... + 385405043.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080).

Almost surely, 2^18114035940 is an apocalyptic number.

18114035940 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 18114035940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41617981440).

18114035940 is an abundant number, since it is smaller than the sum of its proper divisors (65121926940).

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

18114035940 is a wasteful number, since it uses less digits than its factorization.

18114035940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18114035940 in words is "eighteen billion, one hundred fourteen million, thirty-five thousand, nine hundred forty".