4224140310400 has 96 divisors (see below), whose sum is σ = 10436094045000. Its totient is φ = 1689470330880.

The previous prime is 4224140310373. The next prime is 4224140310419. The reversal of 4224140310400 is 40130414224.

4224140310400 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 2×4224140310400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 31129099 + ... + 31264501.

Almost surely, 2^{4224140310400} is an apocalyptic number.

4224140310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224140310400 is an abundant number, since it is smaller than the sum of its proper divisors (6211953734600).

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

4224140310400 is a wasteful number, since it uses less digits than its factorization.

4224140310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145176 (or 145159 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4224140310400 its reverse (40130414224), we get a palindrome (4264270724624).

The spelling of 4224140310400 in words is "four trillion, two hundred twenty-four billion, one hundred forty million, three hundred ten thousand, four hundred".