1342416142431 has 96 divisors (see below), whose sum is σ = 2451766262400. Its totient is φ = 688739853312.

The previous prime is 1342416142391. The next prime is 1342416142469.

It is a happy number.

1342416142431 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 1 + 614 + 2 + 4 + 31 = 666.

1342416142431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1342416142431 - 2²¹ = 1342414045279 is a prime.

It is a super-2 number, since 2×1342416142431² (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 (1342416142471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168874645 + ... + 168882593.

It is an arithmetic number, because the mean of its divisors is an integer number (25539231900).

Almost surely, 2^{1342416142431} is an apocalyptic number.

1342416142431 is a deficient number, since it is larger than the sum of its proper divisors (1109350119969).

1342416142431 is a wasteful number, since it uses less digits than its factorization.

1342416142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13585 (or 13582 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 1342416142431 in words is "one trillion, three hundred forty-two billion, four hundred sixteen million, one hundred forty-two thousand, four hundred thirty-one".