4442145513200 has 60 divisors (see below), whose sum is σ = 10818449935008. Its totient is φ = 1752517670400.

The previous prime is 4442145513161. The next prime is 4442145513241. The reversal of 4442145513200 is 23155412444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76034936 + ... + 76093335.

Almost surely, 2^{4442145513200} is an apocalyptic number.

4442145513200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442145513200 is an abundant number, since it is smaller than the sum of its proper divisors (6376304421808).

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

4442145513200 is a wasteful number, since it uses less digits than its factorization.

4442145513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152128362 (or 152128351 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 4442145513200 in words is "four trillion, four hundred forty-two billion, one hundred forty-five million, five hundred thirteen thousand, two hundred".