4314212400 has 240 divisors, whose sum is σ = 14838362784. Its totient is φ = 1067581440.

The previous prime is 4314212381. The next prime is 4314212401. The reversal of 4314212400 is 42124134.

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

It is a super-2 number, since 2×4314212400² = 37224857264627520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314212401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487752 + ... + 1490648.

Almost surely, 2^4314212400 is an apocalyptic number.

4314212400 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 4314212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419181392).

4314212400 is an abundant number, since it is smaller than the sum of its proper divisors (10524150384).

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

4314212400 is a wasteful number, since it uses less digits than its factorization.

4314212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4314212400 is about 65682.6643795758. The cubic root of 4314212400 is about 1627.9229317955.

Adding to 4314212400 its reverse (42124134), we get a palindrome (4356336534).

The spelling of 4314212400 in words is "four billion, three hundred fourteen million, two hundred twelve thousand, four hundred".