1140400320 has 112 divisors (see below), whose sum is σ = 3645212928. Its totient is φ = 302054400.

The previous prime is 1140400309. The next prime is 1140400333. The reversal of 1140400320 is 230040411.

It is a super-2 number, since 2×1140400320² = 2601025779712204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1140400320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141027 + ... + 148893.

It is an arithmetic number, because the mean of its divisors is an integer number (32546544).

Almost surely, 2^1140400320 is an apocalyptic number.

1140400320 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 1140400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822606464).

1140400320 is an abundant number, since it is smaller than the sum of its proper divisors (2504812608).

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

1140400320 is a wasteful number, since it uses less digits than its factorization.

1140400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1140400320 is about 33769.8137394923. The cubic root of 1140400320 is about 1044.7661908328.

Adding to 1140400320 its reverse (230040411), we get a palindrome (1370440731).

The spelling of 1140400320 in words is "one billion, one hundred forty million, four hundred thousand, three hundred twenty".