10725386440 has 64 divisors (see below), whose sum is σ = 24541056000. Its totient is φ = 4218001920.

The previous prime is 10725386423. The next prime is 10725386453. The reversal of 10725386440 is 4468352701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10725386393 and 10725386402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628825 + ... + 645655.

It is an arithmetic number, because the mean of its divisors is an integer number (383454000).

Almost surely, 2^10725386440 is an apocalyptic number.

10725386440 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 10725386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270528000).

10725386440 is an abundant number, since it is smaller than the sum of its proper divisors (13815669560).

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

10725386440 is a wasteful number, since it uses less digits than its factorization.

10725386440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17110 (or 17106 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 10725386440 in words is "ten billion, seven hundred twenty-five million, three hundred eighty-six thousand, four hundred forty".