4215296000 has 104 divisors (see below), whose sum is σ = 10521372264. Its totient is φ = 1685913600.

The previous prime is 4215295991. The next prime is 4215296027. The reversal of 4215296000 is 6925124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 572932096 + 3642363904 = 23936^2 + 60352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507884 + ... + 516116.

It is an arithmetic number, because the mean of its divisors is an integer number (101167041).

Almost surely, 2^4215296000 is an apocalyptic number.

4215296000 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 4215296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260686132).

4215296000 is an abundant number, since it is smaller than the sum of its proper divisors (6306076264).

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

4215296000 is an frugal number, since it uses more digits than its factorization.

4215296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4215296000 is about 64925.3109349505. The cubic root of 4215296000 is about 1615.3849242397.

The spelling of 4215296000 in words is "four billion, two hundred fifteen million, two hundred ninety-six thousand".