1140291600 has 480 divisors, whose sum is σ = 4487331840. Its totient is φ = 241920000.

The previous prime is 1140291577. The next prime is 1140291601. The reversal of 1140291600 is 61920411.

It is a super-3 number, since 3×1140291600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1140291601) 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, 7551525 + ... + 7551675.

It is an arithmetic number, because the mean of its divisors is an integer number (9348608).

Almost surely, 2^1140291600 is an apocalyptic number.

1140291600 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 1140291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243665920).

1140291600 is an abundant number, since it is smaller than the sum of its proper divisors (3347040240).

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

1140291600 is a wasteful number, since it uses less digits than its factorization.

1140291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1140291600 is about 33768.2039794834. The cubic root of 1140291600 is about 1044.7329888691.

The spelling of 1140291600 in words is "one billion, one hundred forty million, two hundred ninety-one thousand, six hundred".