4213232400 has 240 divisors, whose sum is σ = 15390514944. Its totient is φ = 976035840.

The previous prime is 4213232399. The next prime is 4213232411. The reversal of 4213232400 is 42323124.

It is a tau number, because it is divible by the number of its divisors (240).

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, 257257 + ... + 273143.

Almost surely, 2^4213232400 is an apocalyptic number.

4213232400 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 4213232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695257472).

4213232400 is an abundant number, since it is smaller than the sum of its proper divisors (11177282544).

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

4213232400 is a wasteful number, since it uses less digits than its factorization.

4213232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15938 (or 15927 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4213232400 is about 64909.4168822984. The cubic root of 4213232400 is about 1615.1212770802.

Adding to 4213232400 its reverse (42323124), we get a palindrome (4255555524).

The spelling of 4213232400 in words is "four billion, two hundred thirteen million, two hundred thirty-two thousand, four hundred".