10030001440 has 96 divisors (see below), whose sum is σ = 24670744560. Its totient is φ = 3849928704.

The previous prime is 10030001431. The next prime is 10030001459. The reversal of 10030001440 is 4410003001.

It can be written as a sum of positive squares in 8 ways, for example, as 7990214544 + 2039786896 = 89388^2 + 45164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10030001440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420556 + ... + 443764.

Almost surely, 2^10030001440 is an apocalyptic number.

10030001440 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 10030001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335372280).

10030001440 is an abundant number, since it is smaller than the sum of its proper divisors (14640743120).

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

10030001440 is a wasteful number, since it uses less digits than its factorization.

10030001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23334 (or 23326 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10030001440 its reverse (4410003001), we get a palindrome (14440004441).

The spelling of 10030001440 in words is "ten billion, thirty million, one thousand, four hundred forty".