10445015440 has 80 divisors (see below), whose sum is σ = 24738148800. Its totient is φ = 4100230656.

The previous prime is 10445015429. The next prime is 10445015447. The reversal of 10445015440 is 4451054401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10445015399 and 10445015408.

It is not an unprimeable number, because it can be changed into a prime (10445015447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3458251 + ... + 3461269.

It is an arithmetic number, because the mean of its divisors is an integer number (309226860).

Almost surely, 2^10445015440 is an apocalyptic number.

10445015440 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 10445015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369074400).

10445015440 is an abundant number, since it is smaller than the sum of its proper divisors (14293133360).

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

10445015440 is a wasteful number, since it uses less digits than its factorization.

10445015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 10445015440 its reverse (4451054401), we get a palindrome (14896069841).

The spelling of 10445015440 in words is "ten billion, four hundred forty-five million, fifteen thousand, four hundred forty".