1140838776 has 384 divisors, whose sum is σ = 4136832000. Its totient is φ = 287884800.

The previous prime is 1140838753. The next prime is 1140838789. The reversal of 1140838776 is 6778380411.

It is a super-2 number, since 2×1140838776² = 2603026225650356352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4773265 + ... + 4773503.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^1140838776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140838776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068416000).

1140838776 is an abundant number, since it is smaller than the sum of its proper divisors (2995993224).

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

1140838776 is a wasteful number, since it uses less digits than its factorization.

1140838776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1140838776 is about 33776.3049488839. The cubic root of 1140838776 is about 1044.9000693496.

The spelling of 1140838776 in words is "one billion, one hundred forty million, eight hundred thirty-eight thousand, seven hundred seventy-six".