114244211313440 has 96 divisors (see below), whose sum is σ = 307761498762480. Its totient is φ = 39701155774464.

The previous prime is 114244211313373. The next prime is 114244211313443. The reversal of 114244211313440 is 44313112442411.

It can be written as a sum of positive squares in 8 ways, for example, as 41398054593424 + 72846156720016 = 6434132^2 + 8534996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114244211313440.

It is not an unprimeable number, because it can be changed into a prime (114244211313443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615408805 + ... + 1615479524.

Almost surely, 2^{114244211313440} is an apocalyptic number.

114244211313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114244211313440 is an abundant number, since it is smaller than the sum of its proper divisors (193517287449040).

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

114244211313440 is a wasteful number, since it uses less digits than its factorization.

114244211313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230888374 (or 3230888366 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 114244211313440 its reverse (44313112442411), we get a palindrome (158557323755851).

The spelling of 114244211313440 in words is "one hundred fourteen trillion, two hundred forty-four billion, two hundred eleven million, three hundred thirteen thousand, four hundred forty".