4314123424400 has 180 divisors, whose sum is σ = 10977933839364. Its totient is φ = 1628992512000.

The previous prime is 4314123424309. The next prime is 4314123424421. The reversal of 4314123424400 is 44243214134.

It can be written as a sum of positive squares in 6 ways, for example, as 720278110864 + 3593845313536 = 848692^2 + 1895744^2 .

It is a super-2 number, since 2×4314123424400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40523240 + ... + 40629560.

Almost surely, 2^{4314123424400} is an apocalyptic number.

4314123424400 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 4314123424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488966919682).

4314123424400 is an abundant number, since it is smaller than the sum of its proper divisors (6663810414964).

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

4314123424400 is a wasteful number, since it uses less digits than its factorization.

4314123424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106658 (or 106628 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4314123424400 its reverse (44243214134), we get a palindrome (4358366638534).

The spelling of 4314123424400 in words is "four trillion, three hundred fourteen billion, one hundred twenty-three million, four hundred twenty-four thousand, four hundred".