1140480000 has 600 divisors, whose sum is σ = 4643779140. Its totient is φ = 276480000.

The previous prime is 1140479993. The next prime is 1140480017. The reversal of 1140480000 is 840411.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679995 + ... + 103680005.

Almost surely, 2^1140480000 is an apocalyptic number.

1140480000 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 1140480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321889570).

1140480000 is an abundant number, since it is smaller than the sum of its proper divisors (3503299140).

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

1140480000 is an frugal number, since it uses more digits than its factorization.

1140480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1140480000 is about 33770.9934707287. The cubic root of 1140480000 is about 1044.7905229408.

The spelling of 1140480000 in words is "one billion, one hundred forty million, four hundred eighty thousand".