1140016320 has 252 divisors, whose sum is σ = 4083807936. Its totient is φ = 291594240.

The previous prime is 1140016313. The next prime is 1140016337. The reversal of 1140016320 is 236100411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140016293 and 1140016302.

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 35 ways as a sum of consecutive naturals, for example, 10088584 + ... + 10088696.

Almost surely, 2^1140016320 is an apocalyptic number.

1140016320 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 1140016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041903968).

1140016320 is an abundant number, since it is smaller than the sum of its proper divisors (2943791616).

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

1140016320 is a wasteful number, since it uses less digits than its factorization.

1140016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1140016320 is about 33764.1277097454. The cubic root of 1140016320 is about 1044.6489117660.

Adding to 1140016320 its reverse (236100411), we get a palindrome (1376116731).

The spelling of 1140016320 in words is "one billion, one hundred forty million, sixteen thousand, three hundred twenty".