1142264000 has 224 divisors, whose sum is σ = 3089721024. Its totient is φ = 416563200.

The previous prime is 1142263987. The next prime is 1142264023. The reversal of 1142264000 is 4622411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 5031887 + ... + 5032113.

Almost surely, 2^1142264000 is an apocalyptic number.

1142264000 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 1142264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544860512).

1142264000 is an abundant number, since it is smaller than the sum of its proper divisors (1947457024).

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

1142264000 is a wasteful number, since it uses less digits than its factorization.

1142264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1142264000 is about 33797.3963494231. The cubic root of 1142264000 is about 1045.3350115955.

Adding to 1142264000 its reverse (4622411), we get a palindrome (1146886411).

The spelling of 1142264000 in words is "one billion, one hundred forty-two million, two hundred sixty-four thousand".