10001014240 has 192 divisors, whose sum is σ = 28043366400. Its totient is φ = 3297724416.

The previous prime is 10001014237. The next prime is 10001014313. The reversal of 10001014240 is 4241010001.

It is a self number, because there is not a number n which added to its sum of digits gives 10001014240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11919741 + ... + 11920579.

It is an arithmetic number, because the mean of its divisors is an integer number (146059200).

Almost surely, 2^10001014240 is an apocalyptic number.

10001014240 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 10001014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021683200).

10001014240 is an abundant number, since it is smaller than the sum of its proper divisors (18042352160).

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

10001014240 is a wasteful number, since it uses less digits than its factorization.

10001014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10001014240 its reverse (4241010001), we get a palindrome (14242024241).

The spelling of 10001014240 in words is "ten billion, one million, fourteen thousand, two hundred forty".