4387985817600 has 2592 divisors, whose sum is σ = 19921592936448. Its totient is φ = 830472192000.

The previous prime is 4387985817599. The next prime is 4387985817659. The reversal of 4387985817600 is 67185897834.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 141547929585 + ... + 141547929615.

It is an arithmetic number, because the mean of its divisors is an integer number (7685799744).

Almost surely, 2^{4387985817600} is an apocalyptic number.

4387985817600 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 4387985817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960796468224).

4387985817600 is an abundant number, since it is smaller than the sum of its proper divisors (15533607118848).

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

4387985817600 is a wasteful number, since it uses less digits than its factorization.

4387985817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 4387985817600 in words is "four trillion, three hundred eighty-seven billion, nine hundred eighty-five million, eight hundred seventeen thousand, six hundred".