1142515242504 has 256 divisors, whose sum is σ = 3273867072000. Its totient is φ = 369011635200.

The previous prime is 1142515242499. The next prime is 1142515242521. The reversal of 1142515242504 is 4052425152411.

1142515242504 is a `hidden beast` number, since 1 + 14 + 2 + 51 + 52 + 42 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563091762 + ... + 563093790.

It is an arithmetic number, because the mean of its divisors is an integer number (12788543250).

Almost surely, 2^{1142515242504} 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 1142515242504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636933536000).

1142515242504 is an abundant number, since it is smaller than the sum of its proper divisors (2131351829496).

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

1142515242504 is a wasteful number, since it uses less digits than its factorization.

1142515242504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 1142515242504 in words is "one trillion, one hundred forty-two billion, five hundred fifteen million, two hundred forty-two thousand, five hundred four".