1142587949760 has 168 divisors, whose sum is σ = 3931300311120. Its totient is φ = 304591362048.

The previous prime is 1142587949747. The next prime is 1142587949761. The reversal of 1142587949760 is 679497852411.

1142587949760 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 87 + 9 + 497 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (1142587949761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9046726 + ... + 9172154.

It is an arithmetic number, because the mean of its divisors is an integer number (23400597090).

Almost surely, 2^{1142587949760} is an apocalyptic number.

1142587949760 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 1142587949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965650155560).

1142587949760 is an abundant number, since it is smaller than the sum of its proper divisors (2788712361360).

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

1142587949760 is a wasteful number, since it uses less digits than its factorization.

1142587949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128615 (or 128602 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1142587949760 in words is "one trillion, one hundred forty-two billion, five hundred eighty-seven million, nine hundred forty-nine thousand, seven hundred sixty".