1140364800 has 360 divisors, whose sum is σ = 4304088360. Its totient is φ = 287539200.

The previous prime is 1140364759. The next prime is 1140364837. The reversal of 1140364800 is 84630411.

1140364800 is a `hidden beast` number, since 1 + 14 + 0 + 3 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2188540 + ... + 2189060.

It is an arithmetic number, because the mean of its divisors is an integer number (11955801).

Almost surely, 2^1140364800 is an apocalyptic number.

1140364800 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 1140364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152044180).

1140364800 is an abundant number, since it is smaller than the sum of its proper divisors (3163723560).

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

1140364800 is a wasteful number, since it uses less digits than its factorization.

1140364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1140364800 is about 33769.2878219248. The cubic root of 1140364800 is about 1044.7553436242.

It can be divided in two parts, 1140 and 364800, that added together give a triangular number (365940 = T₈₅₅).

The spelling of 1140364800 in words is "one billion, one hundred forty million, three hundred sixty-four thousand, eight hundred".