114011410040100 has 360 divisors, whose sum is σ = 373042148435880. Its totient is φ = 30118336634880.

The previous prime is 114011410040089. The next prime is 114011410040117. The reversal of 114011410040100 is 1040014110411.

114011410040100 is a `hidden beast` number, since 1 + 140 + 11 + 410 + 0 + 4 + 0 + 100 = 666.

114011410040100 is a nontrivial binomial coefficient, being equal to C(15100425, 2).

It can be written as a sum of positive squares in 12 ways, for example, as 12792196317924 + 101219213722176 = 3576618^2 + 10060776^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6583776642 + ... + 6583793958.

Almost surely, 2^{114011410040100} is an apocalyptic number.

114011410040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114011410040100 is the 15100424-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114011410040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186521074217940).

114011410040100 is an abundant number, since it is smaller than the sum of its proper divisors (259030738395780).

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

114011410040100 is a wasteful number, since it uses less digits than its factorization.

114011410040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909 (or 24893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114011410040100 its reverse (1040014110411), we get a palindrome (115051424150511).

The spelling of 114011410040100 in words is "one hundred fourteen trillion, eleven billion, four hundred ten million, forty thousand, one hundred".