1142276311488 has 448 divisors, whose sum is σ = 3437801063424. Its totient is φ = 332107776000.

The previous prime is 1142276311453. The next prime is 1142276311493. The reversal of 1142276311488 is 8841136722411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2192468668 + ... + 2192469188.

It is an arithmetic number, because the mean of its divisors is an integer number (7673663088).

Almost surely, 2^{1142276311488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142276311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718900531712).

1142276311488 is an abundant number, since it is smaller than the sum of its proper divisors (2295524751936).

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

1142276311488 is a wasteful number, since it uses less digits than its factorization.

1142276311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 1142276311488 in words is "one trillion, one hundred forty-two billion, two hundred seventy-six million, three hundred eleven thousand, four hundred eighty-eight".