42440122100400 has 120 divisors (see below), whose sum is σ = 136263831421200. Its totient is φ = 11291228651520.

The previous prime is 42440122100399. The next prime is 42440122100447. The reversal of 42440122100400 is 400122104424.

42440122100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40319625 + ... + 41358824.

It is an arithmetic number, because the mean of its divisors is an integer number (1135531928510).

Almost surely, 2^{42440122100400} is an apocalyptic number.

42440122100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42440122100400 is an abundant number, since it is smaller than the sum of its proper divisors (93823709320800).

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

42440122100400 is a wasteful number, since it uses less digits than its factorization.

42440122100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81678903 (or 81678892 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42440122100400 its reverse (400122104424), we get a palindrome (42840244204824).

The spelling of 42440122100400 in words is "forty-two trillion, four hundred forty billion, one hundred twenty-two million, one hundred thousand, four hundred".