4942364169600 has 2304 divisors, whose sum is σ = 21695286412800. Its totient is φ = 1101778329600.

The previous prime is 4942364169569. The next prime is 4942364169641. The reversal of 4942364169600 is 69614632494.

4942364169600 is a `hidden beast` number, since 4 + 9 + 4 + 23 + 6 + 4 + 1 + 6 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 18792259069 + ... + 18792259331.

It is an arithmetic number, because the mean of its divisors is an integer number (9416356950).

Almost surely, 2^{4942364169600} is an apocalyptic number.

4942364169600 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 4942364169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847643206400).

4942364169600 is an abundant number, since it is smaller than the sum of its proper divisors (16752922243200).

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

4942364169600 is a wasteful number, since it uses less digits than its factorization.

4942364169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4942364169600 in words is "four trillion, nine hundred forty-two billion, three hundred sixty-four million, one hundred sixty-nine thousand, six hundred".