1142455040000 has 240 divisors, whose sum is σ = 2870085778560. Its totient is φ = 454492160000.

The previous prime is 1142455039961. The next prime is 1142455040053. The reversal of 1142455040000 is 405542411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 244477664 + ... + 244482336.

It is an arithmetic number, because the mean of its divisors is an integer number (11958690744).

Almost surely, 2^{1142455040000} is an apocalyptic number.

1142455040000 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 1142455040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435042889280).

1142455040000 is an abundant number, since it is smaller than the sum of its proper divisors (1727630738560).

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

1142455040000 is an frugal number, since it uses more digits than its factorization.

1142455040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 1142455040000 in words is "one trillion, one hundred forty-two billion, four hundred fifty-five million, forty thousand".