1140057600 has 240 divisors, whose sum is σ = 4110004800. Its totient is φ = 276275200.

The previous prime is 1140057593. The next prime is 1140057617. The reversal of 1140057600 is 67500411.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421051 + ... + 423749.

It is an arithmetic number, because the mean of its divisors is an integer number (17125020).

Almost surely, 2^1140057600 is an apocalyptic number.

1140057600 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 1140057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055002400).

1140057600 is an abundant number, since it is smaller than the sum of its proper divisors (2969947200).

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

1140057600 is a wasteful number, since it uses less digits than its factorization.

1140057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1140057600 is about 33764.7390038780. The cubic root of 1140057600 is about 1044.6615205290.

The spelling of 1140057600 in words is "one billion, one hundred forty million, fifty-seven thousand, six hundred".