4293276800 has 192 divisors, whose sum is σ = 11073576960. Its totient is φ = 1642905600.

The previous prime is 4293276787. The next prime is 4293276857. The reversal of 4293276800 is 86723924.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11209409 + ... + 11209791.

It is an arithmetic number, because the mean of its divisors is an integer number (57674880).

Almost surely, 2^4293276800 is an apocalyptic number.

4293276800 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 4293276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536788480).

4293276800 is an abundant number, since it is smaller than the sum of its proper divisors (6780300160).

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

4293276800 is a wasteful number, since it uses less digits than its factorization.

4293276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4293276800 is about 65523.1012697049. The cubic root of 4293276800 is about 1625.2853841971.

The spelling of 4293276800 in words is "four billion, two hundred ninety-three million, two hundred seventy-six thousand, eight hundred".