4248035349600 has 288 divisors, whose sum is σ = 15848254146816. Its totient is φ = 968179968000.

The previous prime is 4248035349539. The next prime is 4248035349601. The reversal of 4248035349600 is 69435308424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4248035349600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248035349601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5465250 + ... + 6193950.

It is an arithmetic number, because the mean of its divisors is an integer number (55028660232).

Almost surely, 2^{4248035349600} is an apocalyptic number.

4248035349600 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 4248035349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924127073408).

4248035349600 is an abundant number, since it is smaller than the sum of its proper divisors (11600218797216).

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

4248035349600 is a wasteful number, since it uses less digits than its factorization.

4248035349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729078 (or 729065 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 4248035349600 in words is "four trillion, two hundred forty-eight billion, thirty-five million, three hundred forty-nine thousand, six hundred".