14116100040 has 320 divisors, whose sum is σ = 56583394560. Its totient is φ = 3086138880.

The previous prime is 14116100023. The next prime is 14116100057. The reversal of 14116100040 is 4000161141.

14116100040 is a `hidden beast` number, since 1 + 4 + 11 + 610 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14116100023) and next prime (14116100057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14116099986 and 14116100022.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 508110 + ... + 535170.

It is an arithmetic number, because the mean of its divisors is an integer number (176823108).

Almost surely, 2^14116100040 is an apocalyptic number.

14116100040 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 14116100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28291697280).

14116100040 is an abundant number, since it is smaller than the sum of its proper divisors (42467294520).

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

14116100040 is a wasteful number, since it uses less digits than its factorization.

14116100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27114 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14116100040 its reverse (4000161141), we get a palindrome (18116261181).

The spelling of 14116100040 in words is "fourteen billion, one hundred sixteen million, one hundred thousand, forty".