1140120412431 has 128 divisors (see below), whose sum is σ = 2084605286400. Its totient is φ = 546213427200.

The previous prime is 1140120412411. The next prime is 1140120412469. The reversal of 1140120412431 is 1342140210411.

It is a happy number.

It is not a de Polignac number, because 1140120412431 - 2¹⁷ = 1140120281359 is a prime.

It is a super-2 number, since 2×1140120412431² (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 (1140120412411) 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 127 ways as a sum of consecutive naturals, for example, 200264221 + ... + 200269913.

It is an arithmetic number, because the mean of its divisors is an integer number (16285978800).

Almost surely, 2^{1140120412431} is an apocalyptic number.

1140120412431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1140120412431 is a deficient number, since it is larger than the sum of its proper divisors (944484873969).

1140120412431 is a wasteful number, since it uses less digits than its factorization.

1140120412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1140120412431 its reverse (1342140210411), we get a palindrome (2482260622842).

It can be divided in two parts, 1140120 and 412431, that added together give a palindrome (1552551).

The spelling of 1140120412431 in words is "one trillion, one hundred forty billion, one hundred twenty million, four hundred twelve thousand, four hundred thirty-one".