4314242422400 has 96 divisors (see below), whose sum is σ = 11001318430080. Its totient is φ = 1670029286400.

The previous prime is 4314242422397. The next prime is 4314242422411. The reversal of 4314242422400 is 42242424134.

4314242422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4314242422400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21645974 + ... + 21844373.

It is an arithmetic number, because the mean of its divisors is an integer number (114597066980).

Almost surely, 2^{4314242422400} is an apocalyptic number.

4314242422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314242422400 is an abundant number, since it is smaller than the sum of its proper divisors (6687076007680).

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

4314242422400 is a wasteful number, since it uses less digits than its factorization.

4314242422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43490402 (or 43490385 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4314242422400 its reverse (42242424134), we get a palindrome (4356484846534).

The spelling of 4314242422400 in words is "four trillion, three hundred fourteen billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred".