10168445440 has 60 divisors (see below), whose sum is σ = 24392675934. Its totient is φ = 4065337344.

The previous prime is 10168445437. The next prime is 10168445473. The reversal of 10168445440 is 4454486101.

It can be written as a sum of positive squares in 3 ways, for example, as 9673115904 + 495329536 = 98352^2 + 22256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10168445440.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5101084 + ... + 5103076.

Almost surely, 2^10168445440 is an apocalyptic number.

10168445440 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 10168445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196337967).

10168445440 is an abundant number, since it is smaller than the sum of its proper divisors (14224230494).

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

10168445440 is an frugal number, since it uses more digits than its factorization.

10168445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 10168445440 in words is "ten billion, one hundred sixty-eight million, four hundred forty-five thousand, four hundred forty".