42221351400 has 96 divisors (see below), whose sum is σ = 131036062560. Its totient is φ = 11246135040.

The previous prime is 42221351371. The next prime is 42221351407. The reversal of 42221351400 is 415312224.

42221351400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42221351407) 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, 489954 + ... + 569646.

It is an arithmetic number, because the mean of its divisors is an integer number (1364958985).

Almost surely, 2^42221351400 is an apocalyptic number.

42221351400 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 42221351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65518031280).

42221351400 is an abundant number, since it is smaller than the sum of its proper divisors (88814711160).

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

42221351400 is a wasteful number, since it uses less digits than its factorization.

42221351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80595 (or 80586 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42221351400 its reverse (415312224), we get a palindrome (42636663624).

The spelling of 42221351400 in words is "forty-two billion, two hundred twenty-one million, three hundred fifty-one thousand, four hundred".