1142601600000 has 1056 divisors, whose sum is σ = 4451940057600. Its totient is φ = 260413440000.

The previous prime is 1142601599981. The next prime is 1142601600011. The reversal of 1142601600000 is 61062411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1142601600000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3292799827 + ... + 3292800173.

Almost surely, 2^{1142601600000} is an apocalyptic number.

1142601600000 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 1142601600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225970028800).

1142601600000 is an abundant number, since it is smaller than the sum of its proper divisors (3309338457600).

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

1142601600000 is an frugal number, since it uses more digits than its factorization.

1142601600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1142601600000 its reverse (61062411), we get a palindrome (1142662662411).

The spelling of 1142601600000 in words is "one trillion, one hundred forty-two billion, six hundred one million, six hundred thousand".