114431402040 has 128 divisors (see below), whose sum is σ = 348124262400. Its totient is φ = 30086784000.

The previous prime is 114431401969. The next prime is 114431402117. The reversal of 114431402040 is 40204134411.

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 114431402040.

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, 7111444 + ... + 7127516.

It is an arithmetic number, because the mean of its divisors is an integer number (2719720800).

Almost surely, 2^114431402040 is an apocalyptic number.

114431402040 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 114431402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174062131200).

114431402040 is an abundant number, since it is smaller than the sum of its proper divisors (233692860360).

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

114431402040 is a wasteful number, since it uses less digits than its factorization.

114431402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16917 (or 16913 counting only the distinct ones).

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

Adding to 114431402040 its reverse (40204134411), we get a palindrome (154635536451).

The spelling of 114431402040 in words is "one hundred fourteen billion, four hundred thirty-one million, four hundred two thousand, forty".