10201025440 has 96 divisors (see below), whose sum is σ = 25578685440. Its totient is φ = 3831189504.

The previous prime is 10201025431. The next prime is 10201025449. The reversal of 10201025440 is 4452010201.

It is an interprime number because it is at equal distance from previous prime (10201025431) and next prime (10201025449).

It is not an unprimeable number, because it can be changed into a prime (10201025449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189809 + ... + 1198351.

It is an arithmetic number, because the mean of its divisors is an integer number (266444640).

Almost surely, 2^10201025440 is an apocalyptic number.

10201025440 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 10201025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789342720).

10201025440 is an abundant number, since it is smaller than the sum of its proper divisors (15377660000).

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

10201025440 is a wasteful number, since it uses less digits than its factorization.

10201025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9014 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10201025440 its reverse (4452010201), we get a palindrome (14653035641).

The spelling of 10201025440 in words is "ten billion, two hundred one million, twenty-five thousand, four hundred forty".