42400210401344 has 112 divisors (see below), whose sum is σ = 89996511091200. Its totient is φ = 19775798784000.

The previous prime is 42400210401343. The next prime is 42400210401379. The reversal of 42400210401344 is 44310401200424.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (42400210401343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33966047 + ... + 35192225.

It is an arithmetic number, because the mean of its divisors is an integer number (803540277600).

Almost surely, 2^{42400210401344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42400210401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44998255545600).

42400210401344 is an abundant number, since it is smaller than the sum of its proper divisors (47596300689856).

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

42400210401344 is a wasteful number, since it uses less digits than its factorization.

42400210401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226852 (or 1226842 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 42400210401344 its reverse (44310401200424), we get a palindrome (86710611601768).

The spelling of 42400210401344 in words is "forty-two trillion, four hundred billion, two hundred ten million, four hundred one thousand, three hundred forty-four".