1140272640 has 560 divisors, whose sum is σ = 4508336448. Its totient is φ = 274710528.

The previous prime is 1140272561. The next prime is 1140272641. The reversal of 1140272640 is 462720411.

1140272640 is a `hidden beast` number, since 1 + 14 + 0 + 2 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140272641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24261097 + ... + 24261143.

Almost surely, 2^1140272640 is an apocalyptic number.

1140272640 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 1140272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254168224).

1140272640 is an abundant number, since it is smaller than the sum of its proper divisors (3368063808).

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

1140272640 is an frugal number, since it uses more digits than its factorization.

1140272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1140272640 is about 33767.9232408509. The cubic root of 1140272640 is about 1044.7271984651.

The spelling of 1140272640 in words is "one billion, one hundred forty million, two hundred seventy-two thousand, six hundred forty".