4332642250000 has 315 divisors, whose sum is σ = 11029973052819. Its totient is φ = 1648548000000.

The previous prime is 4332642249959. The next prime is 4332642250201. The reversal of 4332642250000 is 522462334.

The square root of 4332642250000 is 2081500.

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

It can be written as a sum of positive squares in 10 ways, for example, as 870780120336 + 3461862129664 = 933156^2 + 1860608^2 .

It is a Duffinian 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 62 ways as a sum of consecutive naturals, for example, 23937249910 + ... + 23937250090.

Almost surely, 2^{4332642250000} is an apocalyptic number.

4332642250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4332642250000 is the 2081500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332642250000

4332642250000 is an abundant number, since it is smaller than the sum of its proper divisors (6697330802819).

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

4332642250000 is an frugal number, since it uses more digits than its factorization.

4332642250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 4332642250000 in words is "four trillion, three hundred thirty-two billion, six hundred forty-two million, two hundred fifty thousand".