1140271680 has 224 divisors, whose sum is σ = 3751380864. Its totient is φ = 293289984.

The previous prime is 1140271673. The next prime is 1140271711. The reversal of 1140271680 is 861720411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3714087 + ... + 3714393.

It is an arithmetic number, because the mean of its divisors is an integer number (16747236).

Almost surely, 2^1140271680 is an apocalyptic number.

1140271680 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 1140271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875690432).

1140271680 is an abundant number, since it is smaller than the sum of its proper divisors (2611109184).

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

1140271680 is a wasteful number, since it uses less digits than its factorization.

1140271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1140271680 is about 33767.9090261745. The cubic root of 1140271680 is about 1044.7269052784.

The spelling of 1140271680 in words is "one billion, one hundred forty million, two hundred seventy-one thousand, six hundred eighty".