4294382400 has 672 divisors, whose sum is σ = 19532559360. Its totient is φ = 891648000.

The previous prime is 4294382369. The next prime is 4294382419. The reversal of 4294382400 is 42834924.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 3325755 + ... + 3327045.

Almost surely, 2^4294382400 is an apocalyptic number.

4294382400 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 4294382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766279680).

4294382400 is an abundant number, since it is smaller than the sum of its proper divisors (15238176960).

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

4294382400 is a wasteful number, since it uses less digits than its factorization.

4294382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4294382400 is about 65531.5374457215. The cubic root of 4294382400 is about 1625.4248861347.

The spelling of 4294382400 in words is "four billion, two hundred ninety-four million, three hundred eighty-two thousand, four hundred".