1142413213424 has 160 divisors (see below), whose sum is σ = 2597233766400. Its totient is φ = 486585523200.

The previous prime is 1142413213393. The next prime is 1142413213477. The reversal of 1142413213424 is 4243123142411.

Its product of digits (18432) is a multiple of the sum of its prime divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735616232 + ... + 735617784.

It is an arithmetic number, because the mean of its divisors is an integer number (16232711040).

Almost surely, 2^{1142413213424} is an apocalyptic number.

1142413213424 is a gapful number since it is divisible by the number (14) 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 1142413213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298616883200).

1142413213424 is an abundant number, since it is smaller than the sum of its proper divisors (1454820552976).

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

1142413213424 is a wasteful number, since it uses less digits than its factorization.

1142413213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2304 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 1142413213424 its reverse (4243123142411), we get a palindrome (5385536355835).

The spelling of 1142413213424 in words is "one trillion, one hundred forty-two billion, four hundred thirteen million, two hundred thirteen thousand, four hundred twenty-four".