4215825600 has 168 divisors, whose sum is σ = 15807464448. Its totient is φ = 963609600.

The previous prime is 4215825577. The next prime is 4215825619. The reversal of 4215825600 is 65285124.

It is a tau number, because it is divible by the number of its divisors (168).

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, 29136 + ... + 96335.

Almost surely, 2^4215825600 is an apocalyptic number.

4215825600 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 4215825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903732224).

4215825600 is an abundant number, since it is smaller than the sum of its proper divisors (11591638848).

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

4215825600 is a wasteful number, since it uses less digits than its factorization.

4215825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125503 (or 125488 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 4215825600 is about 64929.3893394971. The cubic root of 4215825600 is about 1615.4525724769.

The spelling of 4215825600 in words is "four billion, two hundred fifteen million, eight hundred twenty-five thousand, six hundred".