4212468000 has 288 divisors, whose sum is σ = 16101841392. Its totient is φ = 1036800000.

The previous prime is 4212467999. The next prime is 4212468011. The reversal of 4212468000 is 8642124.

It can be written as a sum of positive squares in 8 ways, for example, as 150700176 + 4061767824 = 12276^2 + 63732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463500 + ... + 472500.

Almost surely, 2^4212468000 is an apocalyptic number.

4212468000 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 4212468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050920696).

4212468000 is an abundant number, since it is smaller than the sum of its proper divisors (11889373392).

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

4212468000 is a wasteful number, since it uses less digits than its factorization.

4212468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4212468000 is about 64903.5284094786. The cubic root of 4212468000 is about 1615.0235948845.

The spelling of 4212468000 in words is "four billion, two hundred twelve million, four hundred sixty-eight thousand".