5305431145040 has 80 divisors (see below), whose sum is σ = 13983140438400. Its totient is φ = 1855826919936.

The previous prime is 5305431144947. The next prime is 5305431145043. The reversal of 5305431145040 is 405411345035.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305431145043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134226980 + ... + 134266499.

It is an arithmetic number, because the mean of its divisors is an integer number (174789255480).

Almost surely, 2^{5305431145040} is an apocalyptic number.

It is an amenable number.

5305431145040 is an abundant number, since it is smaller than the sum of its proper divisors (8677709293360).

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

5305431145040 is a wasteful number, since it uses less digits than its factorization.

5305431145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268493524 (or 268493518 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 5305431145040 in words is "five trillion, three hundred five billion, four hundred thirty-one million, one hundred forty-five thousand, forty".