10450768440 has 128 divisors (see below), whose sum is σ = 35864156160. Its totient is φ = 2386550784.

The previous prime is 10450768439. The next prime is 10450768463. The reversal of 10450768440 is 4486705401.

It is a Cunningham number, because it is equal to 102229²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017169 + ... + 1027391.

It is an arithmetic number, because the mean of its divisors is an integer number (280188720).

Almost surely, 2^10450768440 is an apocalyptic number.

10450768440 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 10450768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932078080).

10450768440 is an abundant number, since it is smaller than the sum of its proper divisors (25413387720).

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

10450768440 is a wasteful number, since it uses less digits than its factorization.

10450768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11461 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 10450768440 in words is "ten billion, four hundred fifty million, seven hundred sixty-eight thousand, four hundred forty".