10724743440 has 200 divisors, whose sum is σ = 37312427328. Its totient is φ = 2855036160.

The previous prime is 10724743433. The next prime is 10724743481. The reversal of 10724743440 is 4434742701.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10724743395 and 10724743404.

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, 5332035 + ... + 5334045.

Almost surely, 2^10724743440 is an apocalyptic number.

10724743440 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 10724743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656213664).

10724743440 is an abundant number, since it is smaller than the sum of its proper divisors (26587683888).

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

10724743440 is a wasteful number, since it uses less digits than its factorization.

10724743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 10724743440 in words is "ten billion, seven hundred twenty-four million, seven hundred forty-three thousand, four hundred forty".