114440000301440 has 128 divisors (see below), whose sum is σ = 306520652610720. Its totient is φ = 40489828024320.

The previous prime is 114440000301433. The next prime is 114440000301479. The reversal of 114440000301440 is 44103000044411.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 219410897 + ... + 219931856.

Almost surely, 2^{114440000301440} is an apocalyptic number.

114440000301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114440000301440 is an abundant number, since it is smaller than the sum of its proper divisors (192080652309280).

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

114440000301440 is a wasteful number, since it uses less digits than its factorization.

114440000301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439342820 (or 439342808 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 114440000301440 its reverse (44103000044411), we get a palindrome (158543000345851).

The spelling of 114440000301440 in words is "one hundred fourteen trillion, four hundred forty billion, three hundred one thousand, four hundred forty".