1142331213140 has 96 divisors (see below), whose sum is σ = 2617118846496. Its totient is φ = 416313999360.

The previous prime is 1142331213137. The next prime is 1142331213143. The reversal of 1142331213140 is 413121332411.

It is an interprime number because it is at equal distance from previous prime (1142331213137) and next prime (1142331213143).

It can be written as a sum of positive squares in 16 ways, for example, as 840602920336 + 301728292804 = 916844^2 + 549298^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142331213143) 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 31 ways as a sum of consecutive naturals, for example, 6999914 + ... + 7161246.

It is an arithmetic number, because the mean of its divisors is an integer number (27261654651).

Almost surely, 2^{1142331213140} is an apocalyptic number.

1142331213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142331213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308559423248).

1142331213140 is an abundant number, since it is smaller than the sum of its proper divisors (1474787633356).

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

1142331213140 is a wasteful number, since it uses less digits than its factorization.

1142331213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161709 (or 161707 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1142331213140 its reverse (413121332411), we get a palindrome (1555452545551).

The spelling of 1142331213140 in words is "one trillion, one hundred forty-two billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred forty".