1345140415431 has 24 divisors (see below), whose sum is σ = 1995993571104. Its totient is φ = 872304897600.

The previous prime is 1345140415387. The next prime is 1345140415499.

1345140415431 is a `hidden beast` number, since 1 + 3 + 45 + 140 + 41 + 5 + 431 = 666.

1345140415431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1345140415431 - 2⁷ = 1345140415303 is a prime.

It is a super-2 number, since 2×1345140415431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345140495431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 830281 + ... + 1838381.

It is an arithmetic number, because the mean of its divisors is an integer number (83166398796).

Almost surely, 2^{1345140415431} is an apocalyptic number.

1345140415431 is a deficient number, since it is larger than the sum of its proper divisors (650853155673).

1345140415431 is a wasteful number, since it uses less digits than its factorization.

1345140415431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012151 (or 1012148 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1345140415431 in words is "one trillion, three hundred forty-five billion, one hundred forty million, four hundred fifteen thousand, four hundred thirty-one".