4212170400 has 144 divisors (see below), whose sum is σ = 13803804000. Its totient is φ = 1115612160.

The previous prime is 4212170377. The next prime is 4212170437. The reversal of 4212170400 is 40712124.

It is a happy 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, 351711 + ... + 363489.

It is an arithmetic number, because the mean of its divisors is an integer number (95859750).

Almost surely, 2^4212170400 is an apocalyptic number.

4212170400 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 4212170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901902000).

4212170400 is an abundant number, since it is smaller than the sum of its proper divisors (9591633600).

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

4212170400 is a wasteful number, since it uses less digits than its factorization.

4212170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11951 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4212170400 is about 64901.2357355390. The cubic root of 4212170400 is about 1614.9855615716.

Adding to 4212170400 its reverse (40712124), we get a palindrome (4252882524).

The spelling of 4212170400 in words is "four billion, two hundred twelve million, one hundred seventy thousand, four hundred".