114034440520 has 192 divisors, whose sum is σ = 350648222400. Its totient is φ = 32809029120.

The previous prime is 114034440503. The next prime is 114034440547. The reversal of 114034440520 is 25044430411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76851 + ... + 483709.

It is an arithmetic number, because the mean of its divisors is an integer number (1826292825).

Almost surely, 2^114034440520 is an apocalyptic number.

114034440520 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 114034440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175324111200).

114034440520 is an abundant number, since it is smaller than the sum of its proper divisors (236613781880).

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

114034440520 is a wasteful number, since it uses less digits than its factorization.

114034440520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406908 (or 406897 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 114034440520 its reverse (25044430411), we get a palindrome (139078870931).

The spelling of 114034440520 in words is "one hundred fourteen billion, thirty-four million, four hundred forty thousand, five hundred twenty".