30224431440 has 120 divisors (see below), whose sum is σ = 116004265728. Its totient is φ = 6908440320.

The previous prime is 30224431403. The next prime is 30224431451. The reversal of 30224431440 is 4413442203.

It is a happy number.

30224431440 is a `hidden beast` number, since 3 + 0 + 224 + 431 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2993416 + ... + 3003495.

Almost surely, 2^30224431440 is an apocalyptic number.

30224431440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30224431440 is an abundant number, since it is smaller than the sum of its proper divisors (85779834288).

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

30224431440 is a wasteful number, since it uses less digits than its factorization.

30224431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996937 (or 5996928 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30224431440 its reverse (4413442203), we get a palindrome (34637873643).

The spelling of 30224431440 in words is "thirty billion, two hundred twenty-four million, four hundred thirty-one thousand, four hundred forty".