1040259024 has 150 divisors (see below), whose sum is σ = 3502586274. Its totient is φ = 297198720.

The previous prime is 1040259013. The next prime is 1040259043. The reversal of 1040259024 is 4209520401.

1040259024 is a `hidden beast` number, since 10 + 40 + 2 + 590 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 525876624 + 514382400 = 22932^2 + 22680^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 55314 + ... + 71694.

Almost surely, 2^1040259024 is an apocalyptic number.

1040259024 is a gapful number since it is divisible by the number (14) 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 1040259024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751293137).

1040259024 is an abundant number, since it is smaller than the sum of its proper divisors (2462327250).

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

1040259024 is a wasteful number, since it uses less digits than its factorization.

1040259024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16415 (or 16393 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1040259024 is about 32253.0467398043. The cubic root of 1040259024 is about 1013.2435098513.

Adding to 1040259024 its reverse (4209520401), we get a palindrome (5249779425).

The spelling of 1040259024 in words is "one billion, forty million, two hundred fifty-nine thousand, twenty-four".