42441320400 has 120 divisors (see below), whose sum is σ = 141864818880. Its totient is φ = 10825605120.

The previous prime is 42441320353. The next prime is 42441320407. The reversal of 42441320400 is 402314424.

It is a happy number.

42441320400 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42441320407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741265 + ... + 796464.

It is an arithmetic number, because the mean of its divisors is an integer number (1182206824).

Almost surely, 2^42441320400 is an apocalyptic number.

42441320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42441320400 is an abundant number, since it is smaller than the sum of its proper divisors (99423498480).

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

42441320400 is a wasteful number, since it uses less digits than its factorization.

42441320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537773 (or 1537762 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42441320400 its reverse (402314424), we get a palindrome (42843634824).

The spelling of 42441320400 in words is "forty-two billion, four hundred forty-one million, three hundred twenty thousand, four hundred".