42232220400 has 120 divisors (see below), whose sum is σ = 135336230784. Its totient is φ = 11257568000.

The previous prime is 42232220353. The next prime is 42232220449. The reversal of 42232220400 is 402223224.

42232220400 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4155325 + ... + 4165475.

Almost surely, 2^42232220400 is an apocalyptic number.

42232220400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67668115392).

42232220400 is an abundant number, since it is smaller than the sum of its proper divisors (93104010384).

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

42232220400 is a wasteful number, since it uses less digits than its factorization.

42232220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13639 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42232220400 its reverse (402223224), we get a palindrome (42634443624).

The spelling of 42232220400 in words is "forty-two billion, two hundred thirty-two million, two hundred twenty thousand, four hundred".