42344201004400 has 240 divisors, whose sum is σ = 108527919081120. Its totient is φ = 15821291520000.

The previous prime is 42344201004379. The next prime is 42344201004419. The reversal of 42344201004400 is 440010244324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3781739602 + ... + 3781750798.

It is an arithmetic number, because the mean of its divisors is an integer number (452199662838).

Almost surely, 2^{42344201004400} is an apocalyptic number.

42344201004400 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 42344201004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54263959540560).

42344201004400 is an abundant number, since it is smaller than the sum of its proper divisors (66183718076720).

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

42344201004400 is a wasteful number, since it uses less digits than its factorization.

42344201004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372 (or 15361 counting only the distinct ones).

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

Adding to 42344201004400 its reverse (440010244324), we get a palindrome (42784211248724).

The spelling of 42344201004400 in words is "forty-two trillion, three hundred forty-four billion, two hundred one million, four thousand, four hundred".