10011441630 has 64 divisors (see below), whose sum is σ = 24820992000. Its totient is φ = 2581676160.

The previous prime is 10011441617. The next prime is 10011441631. The reversal of 10011441630 is 3614411001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011441597 and 10011441606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011441631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586221 + ... + 1592519.

It is an arithmetic number, because the mean of its divisors is an integer number (387828000).

Almost surely, 2^10011441630 is an apocalyptic number.

10011441630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011441630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496000).

10011441630 is an abundant number, since it is smaller than the sum of its proper divisors (14809550370).

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

10011441630 is a wasteful number, since it uses less digits than its factorization.

10011441630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10011441630 its reverse (3614411001), we get a palindrome (13625852631).

The spelling of 10011441630 in words is "ten billion, eleven million, four hundred forty-one thousand, six hundred thirty".