2314144432440 has 96 divisors (see below), whose sum is σ = 7724238893280. Its totient is φ = 600426660096.

The previous prime is 2314144432393. The next prime is 2314144432459. The reversal of 2314144432440 is 442344414132.

2314144432440 is a `hidden beast` number, since 2 + 3 + 141 + 4 + 44 + 32 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314144432395 and 2314144432404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86853964 + ... + 86880603.

It is an arithmetic number, because the mean of its divisors is an integer number (80460821805).

Almost surely, 2^{2314144432440} is an apocalyptic number.

2314144432440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314144432440 is an abundant number, since it is smaller than the sum of its proper divisors (5410094460840).

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

2314144432440 is a wasteful number, since it uses less digits than its factorization.

2314144432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173734621 (or 173734614 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2314144432440 its reverse (442344414132), we get a palindrome (2756488846572).

The spelling of 2314144432440 in words is "two trillion, three hundred fourteen billion, one hundred forty-four million, four hundred thirty-two thousand, four hundred forty".