114114022440 has 256 divisors, whose sum is σ = 383277484800. Its totient is φ = 26939596800.

The previous prime is 114114022423. The next prime is 114114022457. The reversal of 114114022440 is 44220411411.

It is an interprime number because it is at equal distance from previous prime (114114022423) and next prime (114114022457).

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 114114022440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35338746 + ... + 35341974.

It is an arithmetic number, because the mean of its divisors is an integer number (1497177675).

Almost surely, 2^114114022440 is an apocalyptic number.

114114022440 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 114114022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191638742400).

114114022440 is an abundant number, since it is smaller than the sum of its proper divisors (269163462360).

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

114114022440 is a wasteful number, since it uses less digits than its factorization.

114114022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 114114022440 its reverse (44220411411), we get a palindrome (158334433851).

The spelling of 114114022440 in words is "one hundred fourteen billion, one hundred fourteen million, twenty-two thousand, four hundred forty".