4223832266400 has 288 divisors, whose sum is σ = 13919400101376. Its totient is φ = 1112442240000.

The previous prime is 4223832266399. The next prime is 4223832266417. The reversal of 4223832266400 is 46622383224.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 66306565 + ... + 66370235.

It is an arithmetic number, because the mean of its divisors is an integer number (48331250352).

Almost surely, 2^{4223832266400} is an apocalyptic number.

4223832266400 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 4223832266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959700050688).

4223832266400 is an abundant number, since it is smaller than the sum of its proper divisors (9695567834976).

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

4223832266400 is a wasteful number, since it uses less digits than its factorization.

4223832266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64036 (or 64023 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 4223832266400 in words is "four trillion, two hundred twenty-three billion, eight hundred thirty-two million, two hundred sixty-six thousand, four hundred".