4212423110400 has 216 divisors, whose sum is σ = 13946308681200. Its totient is φ = 1119722373120.

The previous prime is 4212423110377. The next prime is 4212423110429. The reversal of 4212423110400 is 40113242124.

It is a super-2 number, since 2×4212423110400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5659126 + ... + 6360074.

Almost surely, 2^{4212423110400} is an apocalyptic number.

4212423110400 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 4212423110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973154340600).

4212423110400 is an abundant number, since it is smaller than the sum of its proper divisors (9733885570800).

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

4212423110400 is a wasteful number, since it uses less digits than its factorization.

4212423110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701291 (or 701272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4212423110400 its reverse (40113242124), we get a palindrome (4252536352524).

The spelling of 4212423110400 in words is "four trillion, two hundred twelve billion, four hundred twenty-three million, one hundred ten thousand, four hundred".