114440201440 has 48 divisors (see below), whose sum is σ = 273402818640. Its totient is φ = 45261736960.

The previous prime is 114440201417. The next prime is 114440201461. The reversal of 114440201440 is 44102044411.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4004026 + ... + 4032505.

It is an arithmetic number, because the mean of its divisors is an integer number (5695892055).

Almost surely, 2^114440201440 is an apocalyptic number.

114440201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114440201440 is an abundant number, since it is smaller than the sum of its proper divisors (158962617200).

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

114440201440 is an equidigital number, since it uses as much as digits as its factorization.

114440201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036635 (or 8036627 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 114440201440 its reverse (44102044411), we get a palindrome (158542245851).

The spelling of 114440201440 in words is "one hundred fourteen billion, four hundred forty million, two hundred one thousand, four hundred forty".