4215782400 has 264 divisors, whose sum is σ = 14757559920. Its totient is φ = 1057751040.

The previous prime is 4215782381. The next prime is 4215782419. The reversal of 4215782400 is 42875124.

4215782400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4215782381) and next prime (4215782419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303986 + ... + 1307214.

Almost surely, 2^4215782400 is an apocalyptic number.

4215782400 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 4215782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378779960).

4215782400 is an abundant number, since it is smaller than the sum of its proper divisors (10541777520).

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

4215782400 is a wasteful number, since it uses less digits than its factorization.

4215782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 4215782400 is about 64929.0566695682. The cubic root of 4215782400 is about 1615.4470545549.

The spelling of 4215782400 in words is "four billion, two hundred fifteen million, seven hundred eighty-two thousand, four hundred".