1001234240 has 56 divisors (see below), whose sum is σ = 2405374920. Its totient is φ = 396935168.

The previous prime is 1001234239. The next prime is 1001234293. The reversal of 1001234240 is 424321001.

It can be written as a sum of positive squares in 4 ways, for example, as 64384576 + 936849664 = 8024^2 + 30608^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22316 + ... + 50004.

Almost surely, 2^1001234240 is an apocalyptic number.

1001234240 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 1001234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202687460).

1001234240 is an abundant number, since it is smaller than the sum of its proper divisors (1404140680).

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

1001234240 is a wasteful number, since it uses less digits than its factorization.

1001234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27819 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1001234240 is about 31642.2856317302. The cubic root of 1001234240 is about 1000.4112441884.

Adding to 1001234240 its reverse (424321001), we get a palindrome (1425555241).

The spelling of 1001234240 in words is "one billion, one million, two hundred thirty-four thousand, two hundred forty".