4228940553600 has 768 divisors, whose sum is σ = 16249089991680. Its totient is φ = 946636554240.

The previous prime is 4228940553587. The next prime is 4228940553641. The reversal of 4228940553600 is 63550498224.

It is a happy number.

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 4228940553600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3785980242 + ... + 3785981358.

It is an arithmetic number, because the mean of its divisors is an integer number (21157669260).

Almost surely, 2^{4228940553600} is an apocalyptic number.

4228940553600 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 4228940553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124544995840).

4228940553600 is an abundant number, since it is smaller than the sum of its proper divisors (12020149438080).

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

4228940553600 is a wasteful number, since it uses less digits than its factorization.

4228940553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 4228940553600 in words is "four trillion, two hundred twenty-eight billion, nine hundred forty million, five hundred fifty-three thousand, six hundred".