10315441000 has 64 divisors (see below), whose sum is σ = 24176627280. Its totient is φ = 4119596800.

The previous prime is 10315440983. The next prime is 10315441001. The reversal of 10315441000 is 14451301.

It can be written as a sum of positive squares in 8 ways, for example, as 254147364 + 10061293636 = 15942^2 + 100306^2 .

It is a super-3 number, since 3×10315441000³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10315441001) 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, 645102 + ... + 660898.

Almost surely, 2^10315441000 is an apocalyptic number.

10315441000 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 10315441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088313640).

10315441000 is an abundant number, since it is smaller than the sum of its proper divisors (13861186280).

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

10315441000 is a wasteful number, since it uses less digits than its factorization.

10315441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16471 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10315441000 its reverse (14451301), we get a palindrome (10329892301).

The spelling of 10315441000 in words is "ten billion, three hundred fifteen million, four hundred forty-one thousand".