4213346400 has 432 divisors, whose sum is σ = 15728993280. Its totient is φ = 1059609600.

The previous prime is 4213346393. The next prime is 4213346407. The reversal of 4213346400 is 46433124.

4213346400 is a `hidden beast` number, since 4 + 2 + 13 + 3 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4213346393) and next prime (4213346407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213346407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9597381 + ... + 9597819.

Almost surely, 2^4213346400 is an apocalyptic number.

4213346400 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 4213346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864496640).

4213346400 is an abundant number, since it is smaller than the sum of its proper divisors (11515646880).

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

4213346400 is a wasteful number, since it uses less digits than its factorization.

4213346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4213346400 is about 64910.2950232088. The cubic root of 4213346400 is about 1615.1358440561.

Adding to 4213346400 its reverse (46433124), we get a palindrome (4259779524).

The spelling of 4213346400 in words is "four billion, two hundred thirteen million, three hundred forty-six thousand, four hundred".