1142024524000 has 192 divisors, whose sum is σ = 2909929276800. Its totient is φ = 439961088000.

The previous prime is 1142024523889. The next prime is 1142024524013. The reversal of 1142024524000 is 4254202411.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 47431965 + ... + 47456035.

It is an arithmetic number, because the mean of its divisors is an integer number (15155881650).

Almost surely, 2^{1142024524000} is an apocalyptic number.

1142024524000 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 1142024524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454964638400).

1142024524000 is an abundant number, since it is smaller than the sum of its proper divisors (1767904752800).

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

1142024524000 is a wasteful number, since it uses less digits than its factorization.

1142024524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24534 (or 24516 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1142024524000 its reverse (4254202411), we get a palindrome (1146278726411).

The spelling of 1142024524000 in words is "one trillion, one hundred forty-two billion, twenty-four million, five hundred twenty-four thousand".