1140290640 has 240 divisors, whose sum is σ = 4126075200. Its totient is φ = 281161728.

The previous prime is 1140290611. The next prime is 1140290663. The reversal of 1140290640 is 460920411.

1140290640 is a `hidden beast` number, since 1 + 14 + 0 + 2 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721371 + ... + 722949.

It is an arithmetic number, because the mean of its divisors is an integer number (17191980).

Almost surely, 2^1140290640 is an apocalyptic number.

1140290640 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 1140290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063037600).

1140290640 is an abundant number, since it is smaller than the sum of its proper divisors (2985784560).

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

1140290640 is a wasteful number, since it uses less digits than its factorization.

1140290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1140290640 is about 33768.1897649252. The cubic root of 1140290640 is about 1044.7326956856.

The spelling of 1140290640 in words is "one billion, one hundred forty million, two hundred ninety thousand, six hundred forty".