114214124140 has 96 divisors (see below), whose sum is σ = 250490003904. Its totient is φ = 43703193600.

The previous prime is 114214124119. The next prime is 114214124159. The reversal of 114214124140 is 41421412411.

It is a super-3 number, since 3×114214124140³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29795664 + ... + 29799496.

It is an arithmetic number, because the mean of its divisors is an integer number (2609270874).

Almost surely, 2^114214124140 is an apocalyptic number.

114214124140 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 114214124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125245001952).

114214124140 is an abundant number, since it is smaller than the sum of its proper divisors (136275879764).

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

114214124140 is a wasteful number, since it uses less digits than its factorization.

114214124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 114214124140 its reverse (41421412411), we get a palindrome (155635536551).

The spelling of 114214124140 in words is "one hundred fourteen billion, two hundred fourteen million, one hundred twenty-four thousand, one hundred forty".