4333225089600 has 1701 divisors, whose sum is σ = 18084439331049. Its totient is φ = 983200204800.

The previous prime is 4333225089563. The next prime is 4333225089617. The reversal of 4333225089600 is 69805223334.

The square root of 4333225089600 is 2081640.

It is a perfect power (a square), and thus also a powerful number.

4333225089600 is a `hidden beast` number, since 4 + 3 + 3 + 32 + 2 + 5 + 0 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1559961032256 + 2773264057344 = 1248984^2 + 1665312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 52207531159 + ... + 52207531241.

Almost surely, 2^{4333225089600} is an apocalyptic number.

4333225089600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4333225089600 is the 2081640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4333225089600

4333225089600 is an abundant number, since it is smaller than the sum of its proper divisors (13751214241449).

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

4333225089600 is a wasteful number, since it uses less digits than its factorization.

4333225089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4333225089600 in words is "four trillion, three hundred thirty-three billion, two hundred twenty-five million, eighty-nine thousand, six hundred".