1001210240 has 128 divisors (see below), whose sum is σ = 2645161920. Its totient is φ = 360448000.

The previous prime is 1001210209. The next prime is 1001210251. The reversal of 1001210240 is 420121001.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 248240 + ... + 252240.

Almost surely, 2^1001210240 is an apocalyptic number.

1001210240 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 1001210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322580960).

1001210240 is an abundant number, since it is smaller than the sum of its proper divisors (1643951680).

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

1001210240 is a wasteful number, since it uses less digits than its factorization.

1001210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1001210240 is about 31641.9063901024. The cubic root of 1001210240 is about 1000.4032507003.

Adding to 1001210240 its reverse (420121001), we get a palindrome (1421331241).

The spelling of 1001210240 in words is "one billion, one million, two hundred ten thousand, two hundred forty".