10452128440320 has 2016 divisors, whose sum is σ = 45276609268800. Its totient is φ = 2303555272704.

The previous prime is 10452128440309. The next prime is 10452128440337. The reversal of 10452128440320 is 2304482125401.

10452128440320 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 212 + 84 + 40 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14143610511 + ... + 14143611249.

It is an arithmetic number, because the mean of its divisors is an integer number (22458635550).

Almost surely, 2^{10452128440320} is an apocalyptic number.

10452128440320 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 10452128440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22638304634400).

10452128440320 is an abundant number, since it is smaller than the sum of its proper divisors (34824480828480).

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

10452128440320 is an frugal number, since it uses more digits than its factorization.

10452128440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 785 counting only the distinct ones).

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

The spelling of 10452128440320 in words is "ten trillion, four hundred fifty-two billion, one hundred twenty-eight million, four hundred forty thousand, three hundred twenty".