4212606400 has 84 divisors (see below), whose sum is σ = 10816419312. Its totient is φ = 1611765760.

The previous prime is 4212606379. The next prime is 4212606407. The reversal of 4212606400 is 46062124.

4212606400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212606407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20437 + ... + 94036.

Almost surely, 2^4212606400 is an apocalyptic number.

4212606400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212606400 is an abundant number, since it is smaller than the sum of its proper divisors (6603812912).

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

4212606400 is a wasteful number, since it uses less digits than its factorization.

4212606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114518 (or 114503 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4212606400 is about 64904.5945985336. The cubic root of 4212606400 is about 1615.0412818095.

Adding to 4212606400 its reverse (46062124), we get a palindrome (4258668524).

The spelling of 4212606400 in words is "four billion, two hundred twelve million, six hundred six thousand, four hundred".