4012424430400 has 336 divisors, whose sum is σ = 10092286713024. Its totient is φ = 1569871134720.

The previous prime is 4012424430389. The next prime is 4012424430407. The reversal of 4012424430400 is 40344242104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012424430407) 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, 5098378807 + ... + 5098379593.

Almost surely, 2^{4012424430400} is an apocalyptic number.

4012424430400 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 4012424430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046143356512).

4012424430400 is an abundant number, since it is smaller than the sum of its proper divisors (6079862282624).

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

4012424430400 is a wasteful number, since it uses less digits than its factorization.

4012424430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4012424430400 its reverse (40344242104), we get a palindrome (4052768672504).

The spelling of 4012424430400 in words is "four trillion, twelve billion, four hundred twenty-four million, four hundred thirty thousand, four hundred".