114414302040 has 128 divisors (see below), whose sum is σ = 355930848000. Its totient is φ = 29387714048.

The previous prime is 114414301961. The next prime is 114414302063. The reversal of 114414302040 is 40203414411.

It is a super-2 number, since 2×114414302040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114414302040.

It is a congruent number.

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, 1418887 + ... + 1497353.

It is an arithmetic number, because the mean of its divisors is an integer number (2780709750).

Almost surely, 2^114414302040 is an apocalyptic number.

114414302040 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 114414302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177965424000).

114414302040 is an abundant number, since it is smaller than the sum of its proper divisors (241516545960).

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

114414302040 is a wasteful number, since it uses less digits than its factorization.

114414302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78929 (or 78925 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114414302040 its reverse (40203414411), we get a palindrome (154617716451).

The spelling of 114414302040 in words is "one hundred fourteen billion, four hundred fourteen million, three hundred two thousand, forty".