10141440000 has 480 divisors, whose sum is σ = 35819784000. Its totient is φ = 2543616000.

The previous prime is 10141439989. The next prime is 10141440011. The reversal of 10141440000 is 4414101.

It is an interprime number because it is at equal distance from previous prime (10141439989) and next prime (10141440011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72959931 + ... + 72960069.

It is an arithmetic number, because the mean of its divisors is an integer number (74624550).

Almost surely, 2^10141440000 is an apocalyptic number.

10141440000 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 10141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909892000).

10141440000 is an abundant number, since it is smaller than the sum of its proper divisors (25678344000).

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

10141440000 is an equidigital number, since it uses as much as digits as its factorization.

10141440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10141440000 its reverse (4414101), we get a palindrome (10145854101).

The spelling of 10141440000 in words is "ten billion, one hundred forty-one million, four hundred forty thousand".