1140552000 has 672 divisors, whose sum is σ = 4879140864. Its totient is φ = 248832000.

The previous prime is 1140551959. The next prime is 1140552001. The reversal of 1140552000 is 2550411.

1140552000 is a `hidden beast` number, since 1 + 140 + 5 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140552001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15623964 + ... + 15624036.

Almost surely, 2^1140552000 is an apocalyptic number.

1140552000 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 1140552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439570432).

1140552000 is an abundant number, since it is smaller than the sum of its proper divisors (3738588864).

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

1140552000 is a wasteful number, since it uses less digits than its factorization.

1140552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1140552000 is about 33772.0594574865. The cubic root of 1140552000 is about 1044.8125088107.

The spelling of 1140552000 in words is "one billion, one hundred forty million, five hundred fifty-two thousand".