10724041296 has 120 divisors (see below), whose sum is σ = 31038608640. Its totient is φ = 3452889600.

The previous prime is 10724041267. The next prime is 10724041343. The reversal of 10724041296 is 69214042701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10724041296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761276 + ... + 2765156.

It is an arithmetic number, because the mean of its divisors is an integer number (258655072).

Almost surely, 2^10724041296 is an apocalyptic number.

10724041296 is a gapful number since it is divisible by the number (16) 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 10724041296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519304320).

10724041296 is an abundant number, since it is smaller than the sum of its proper divisors (20314567344).

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

10724041296 is a wasteful number, since it uses less digits than its factorization.

10724041296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10724041296 its reverse (69214042701), we get a palindrome (79938083997).

The spelling of 10724041296 in words is "ten billion, seven hundred twenty-four million, forty-one thousand, two hundred ninety-six".