4525441228800 has 1680 divisors, whose sum is σ = 17626090007592. Its totient is φ = 1146617856000.

The previous prime is 4525441228783. The next prime is 4525441228823. The reversal of 4525441228800 is 88221445254.

It is a happy number.

4525441228800 is a `hidden beast` number, since 4 + 5 + 2 + 544 + 1 + 2 + 28 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2352812396544 + 2172628832256 = 1533888^2 + 1473984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44806348750 + ... + 44806348850.

Almost surely, 2^{4525441228800} is an apocalyptic number.

4525441228800 is a gapful number since it is divisible by the number (40) 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 4525441228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813045003796).

4525441228800 is an abundant number, since it is smaller than the sum of its proper divisors (13100648778792).

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

4525441228800 is a wasteful number, since it uses less digits than its factorization.

4525441228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 4525441228800 in words is "four trillion, five hundred twenty-five billion, four hundred forty-one million, two hundred twenty-eight thousand, eight hundred".