1142004000 has 192 divisors, whose sum is σ = 3806974080. Its totient is φ = 299187200.

The previous prime is 1142003999. The next prime is 1142004023. The reversal of 1142004000 is 4002411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707194 + ... + 708806.

It is an arithmetic number, because the mean of its divisors is an integer number (19827990).

Almost surely, 2^1142004000 is an apocalyptic number.

1142004000 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 1142004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903487040).

1142004000 is an abundant number, since it is smaller than the sum of its proper divisors (2664970080).

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

1142004000 is a wasteful number, since it uses less digits than its factorization.

1142004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1142004000 is about 33793.5496803754. The cubic root of 1142004000 is about 1045.2556931756.

Adding to 1142004000 its reverse (4002411), we get a palindrome (1146006411).

It can be divided in two parts, 114 and 2004000, that multiplied together give a triangular number (228456000 = T₂₁₃₇₅).

The spelling of 1142004000 in words is "one billion, one hundred forty-two million, four thousand".