114014410020 has 576 divisors, whose sum is σ = 418657075200. Its totient is φ = 24568427520.

The previous prime is 114014409997. The next prime is 114014410079. The reversal of 114014410020 is 20014410411.

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 = 114014409975 and 114014410002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366605665 + ... + 366605975.

It is an arithmetic number, because the mean of its divisors is an integer number (726835200).

Almost surely, 2^114014410020 is an apocalyptic number.

114014410020 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 114014410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209328537600).

114014410020 is an abundant number, since it is smaller than the sum of its proper divisors (304642665180).

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

114014410020 is a wasteful number, since it uses less digits than its factorization.

114014410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114014410020 its reverse (20014410411), we get a palindrome (134028820431).

The spelling of 114014410020 in words is "one hundred fourteen billion, fourteen million, four hundred ten thousand, twenty".