42222044440400 has 240 divisors, whose sum is σ = 111020630349888. Its totient is φ = 15303535104000.

The previous prime is 42222044440369. The next prime is 42222044440481. The reversal of 42222044440400 is 404444022224.

It is a super-2 number, since 2×42222044440400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772013287 + ... + 1772037113.

Almost surely, 2^{42222044440400} is an apocalyptic number.

42222044440400 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 42222044440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55510315174944).

42222044440400 is an abundant number, since it is smaller than the sum of its proper divisors (68798585909488).

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

42222044440400 is a wasteful number, since it uses less digits than its factorization.

42222044440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25139 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42222044440400 its reverse (404444022224), we get a palindrome (42626488462624).

The spelling of 42222044440400 in words is "forty-two trillion, two hundred twenty-two billion, forty-four million, four hundred forty thousand, four hundred".