1140408600 has 96 divisors (see below), whose sum is σ = 3555137040. Its totient is φ = 302400000.

The previous prime is 1140408587. The next prime is 1140408631. The reversal of 1140408600 is 68040411.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103350 + ... + 113850.

Almost surely, 2^1140408600 is an apocalyptic number.

1140408600 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 1140408600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777568520).

1140408600 is an abundant number, since it is smaller than the sum of its proper divisors (2414728440).

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

1140408600 is a wasteful number, since it uses less digits than its factorization.

1140408600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10701 (or 10692 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1140408600 is about 33769.9363339643. The cubic root of 1140408600 is about 1044.7687193727.

The spelling of 1140408600 in words is "one billion, one hundred forty million, four hundred eight thousand, six hundred".