4442025005400 has 192 divisors, whose sum is σ = 13928873673600. Its totient is φ = 1170952796160.

The previous prime is 4442025005393. The next prime is 4442025005443. The reversal of 4442025005400 is 45005202444.

It is a super-2 number, since 2×4442025005400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25609767 + ... + 25782633.

It is an arithmetic number, because the mean of its divisors is an integer number (72546217050).

Almost surely, 2^{4442025005400} is an apocalyptic number.

4442025005400 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 4442025005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964436836800).

4442025005400 is an abundant number, since it is smaller than the sum of its proper divisors (9486848668200).

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

4442025005400 is a wasteful number, since it uses less digits than its factorization.

4442025005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173378 (or 173369 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 4442025005400 in words is "four trillion, four hundred forty-two billion, twenty-five million, five thousand, four hundred".