1140811776 has 360 divisors, whose sum is σ = 3836122290. Its totient is φ = 335757312.

The previous prime is 1140811759. The next prime is 1140811783. The reversal of 1140811776 is 6771180411.

It can be written as a sum of positive squares in only one way, i.e., 1096934400 + 43877376 = 33120^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1140811776.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49600501 + ... + 49600523.

Almost surely, 2^1140811776 is an apocalyptic number.

1140811776 is a gapful number since it is divisible by the number (16) 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 1140811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918061145).

1140811776 is an abundant number, since it is smaller than the sum of its proper divisors (2695310514).

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

1140811776 is an equidigital number, since it uses as much as digits as its factorization.

1140811776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 1140811776 is about 33775.9052580386. The cubic root of 1140811776 is about 1044.8918261385.

The spelling of 1140811776 in words is "one billion, one hundred forty million, eight hundred eleven thousand, seven hundred seventy-six".