4212438432 has 96 divisors (see below), whose sum is σ = 11737825344. Its totient is φ = 1318195200.

The previous prime is 4212438389. The next prime is 4212438457. The reversal of 4212438432 is 2348342124.

4212438432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4212438393 and 4212438402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684007 + ... + 690137.

It is an arithmetic number, because the mean of its divisors is an integer number (122269014).

Almost surely, 2^4212438432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212438432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868912672).

4212438432 is an abundant number, since it is smaller than the sum of its proper divisors (7525386912).

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

4212438432 is a wasteful number, since it uses less digits than its factorization.

4212438432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6574 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 4212438432 is about 64903.3006248527. The cubic root of 4212438432 is about 1615.0198161710.

The spelling of 4212438432 in words is "four billion, two hundred twelve million, four hundred thirty-eight thousand, four hundred thirty-two".