31444402303440 has 160 divisors (see below), whose sum is σ = 123781139285760. Its totient is φ = 7187291951616.

The previous prime is 31444402303381. The next prime is 31444402303469. The reversal of 31444402303440 is 4430320444413.

31444402303440 is a `hidden beast` number, since 3 + 1 + 4 + 44 + 40 + 230 + 344 + 0 = 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 = 31444402303395 and 31444402303404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039812999 + ... + 1039843238.

It is an arithmetic number, because the mean of its divisors is an integer number (773632120536).

Almost surely, 2^{31444402303440} is an apocalyptic number.

31444402303440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31444402303440 is an abundant number, since it is smaller than the sum of its proper divisors (92336736982320).

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

31444402303440 is a wasteful number, since it uses less digits than its factorization.

31444402303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079656266 (or 2079656254 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 31444402303440 its reverse (4430320444413), we get a palindrome (35874722747853).

The spelling of 31444402303440 in words is "thirty-one trillion, four hundred forty-four billion, four hundred two million, three hundred three thousand, four hundred forty".