10314240000 has 520 divisors, whose sum is σ = 36847704960. Its totient is φ = 2555904000.

The previous prime is 10314239941. The next prime is 10314240029. The reversal of 10314240000 is 4241301.

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, 130559961 + ... + 130560039.

Almost surely, 2^10314240000 is an apocalyptic number.

10314240000 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 10314240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423852480).

10314240000 is an abundant number, since it is smaller than the sum of its proper divisors (26533464960).

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

10314240000 is an frugal number, since it uses more digits than its factorization.

10314240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10314240000 its reverse (4241301), we get a palindrome (10318481301).

The spelling of 10314240000 in words is "ten billion, three hundred fourteen million, two hundred forty thousand".