1140512490 has 144 divisors (see below), whose sum is σ = 3393339768. Its totient is φ = 264148992.

The previous prime is 1140512489. The next prime is 1140512509. The reversal of 1140512490 is 942150411.

1140512490 is a `hidden beast` number, since 1 + 140 + 512 + 4 + 9 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 544615569 + 595896921 = 23337^2 + 24411^2 .

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 71 ways as a sum of consecutive naturals, for example, 336444 + ... + 339816.

Almost surely, 2^1140512490 is an apocalyptic number.

1140512490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140512490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696669884).

1140512490 is an abundant number, since it is smaller than the sum of its proper divisors (2252827278).

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

1140512490 is a wasteful number, since it uses less digits than its factorization.

1140512490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1140512490 is about 33771.4745014191. The cubic root of 1140512490 is about 1044.8004441792.

The spelling of 1140512490 in words is "one billion, one hundred forty million, five hundred twelve thousand, four hundred ninety".