4529990707200 has 2880 divisors, whose sum is σ = 20756372757120. Its totient is φ = 952966840320.

The previous prime is 4529990707087. The next prime is 4529990707211. The reversal of 4529990707200 is 27070999254.

4529990707200 is a `hidden beast` number, since 4 + 529 + 9 + 90 + 7 + 0 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4529990707200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33065625532 + ... + 33065625668.

It is an arithmetic number, because the mean of its divisors is an integer number (7207073874).

Almost surely, 2^{4529990707200} is an apocalyptic number.

4529990707200 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 4529990707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378186378560).

4529990707200 is an abundant number, since it is smaller than the sum of its proper divisors (16226382049920).

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

4529990707200 is a wasteful number, since it uses less digits than its factorization.

4529990707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 4529990707200 in words is "four trillion, five hundred twenty-nine billion, nine hundred ninety million, seven hundred seven thousand, two hundred".