4722370405200 has 4800 divisors, whose sum is σ = 23147547033600. Its totient is φ = 896690995200.

The previous prime is 4722370405163. The next prime is 4722370405217. The reversal of 4722370405200 is 25040732274.

It is a happy number.

4722370405200 is a `hidden beast` number, since 4 + 7 + 2 + 23 + 70 + 40 + 520 + 0 = 666.

It is a super-3 number, since 3×4722370405200³ (a number of 39 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 89101328374 + ... + 89101328426.

It is an arithmetic number, because the mean of its divisors is an integer number (4822405632).

Almost surely, 2^{4722370405200} is an apocalyptic number.

4722370405200 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 4722370405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573773516800).

4722370405200 is an abundant number, since it is smaller than the sum of its proper divisors (18425176628400).

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

4722370405200 is a wasteful number, since it uses less digits than its factorization.

4722370405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 4722370405200 in words is "four trillion, seven hundred twenty-two billion, three hundred seventy million, four hundred five thousand, two hundred".