4842202280400 has 480 divisors, whose sum is σ = 18236870860800. Its totient is φ = 1216878681600.

The previous prime is 4842202280387. The next prime is 4842202280417. The reversal of 4842202280400 is 40822022484.

It is a happy number.

4842202280400 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 20 + 228 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39131427 + ... + 39254973.

It is an arithmetic number, because the mean of its divisors is an integer number (37993480960).

Almost surely, 2^{4842202280400} is an apocalyptic number.

4842202280400 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 4842202280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118435430400).

4842202280400 is an abundant number, since it is smaller than the sum of its proper divisors (13394668580400).

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

4842202280400 is a wasteful number, since it uses less digits than its factorization.

4842202280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123784 (or 123767 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 4842202280400 in words is "four trillion, eight hundred forty-two billion, two hundred two million, two hundred eighty thousand, four hundred".