10465044480 has 960 divisors, whose sum is σ = 43381578240. Its totient is φ = 2388787200.

The previous prime is 10465044463. The next prime is 10465044493. The reversal of 10465044480 is 8444056401.

It is a happy number.

10465044480 is a `hidden beast` number, since 104 + 6 + 504 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282839022 + ... + 282839058.

It is an arithmetic number, because the mean of its divisors is an integer number (45189144).

Almost surely, 2^10465044480 is an apocalyptic number.

10465044480 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 10465044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21690789120).

10465044480 is an abundant number, since it is smaller than the sum of its proper divisors (32916533760).

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

10465044480 is a wasteful number, since it uses less digits than its factorization.

10465044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10465044480 in words is "ten billion, four hundred sixty-five million, forty-four thousand, four hundred eighty".