42400400224 has 96 divisors (see below), whose sum is σ = 103107041856. Its totient is φ = 16713768960.

The previous prime is 42400400191. The next prime is 42400400279. The reversal of 42400400224 is 42200400424.

It is a junction number, because it is equal to n+sod(n) for n = 42400400195 and 42400400204.

It is a congruent number.

It is an unprimeable number.

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, 792364 + ... + 844180.

It is an arithmetic number, because the mean of its divisors is an integer number (1074031686).

Almost surely, 2^42400400224 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 42400400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51553520928).

42400400224 is an abundant number, since it is smaller than the sum of its proper divisors (60706641632).

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

42400400224 is a wasteful number, since it uses less digits than its factorization.

42400400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52128 (or 52120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42400400224 its reverse (42200400424), we get a palindrome (84600800648).

The spelling of 42400400224 in words is "forty-two billion, four hundred million, four hundred thousand, two hundred twenty-four".