1142325584960 has 168 divisors, whose sum is σ = 3231598011264. Its totient is φ = 383321164800.

The previous prime is 1142325584957. The next prime is 1142325584993. The reversal of 1142325584960 is 694855232411.

It is a junction number, because it is equal to n+sod(n) for n = 1142325584899 and 1142325584908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38066 + ... + 1511985.

It is an arithmetic number, because the mean of its divisors is an integer number (19235702448).

Almost surely, 2^{1142325584960} is an apocalyptic number.

1142325584960 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 1142325584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615799005632).

1142325584960 is an abundant number, since it is smaller than the sum of its proper divisors (2089272426304).

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

1142325584960 is a wasteful number, since it uses less digits than its factorization.

1142325584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550129 (or 1550112 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 1142325584960 in words is "one trillion, one hundred forty-two billion, three hundred twenty-five million, five hundred eighty-four thousand, nine hundred sixty".