42244400400 has 60 divisors (see below), whose sum is σ = 135322899792. Its totient is φ = 11265173120.

The previous prime is 42244400377. The next prime is 42244400447. The reversal of 42244400400 is 400444224.

42244400400 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 (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17600634 + ... + 17603033.

Almost surely, 2^42244400400 is an apocalyptic number.

42244400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42244400400 is an abundant number, since it is smaller than the sum of its proper divisors (93078499392).

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

42244400400 is a wasteful number, since it uses less digits than its factorization.

42244400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35203688 (or 35203677 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42244400400 its reverse (400444224), we get a palindrome (42644844624).

The spelling of 42244400400 in words is "forty-two billion, two hundred forty-four million, four hundred thousand, four hundred".