42220060400 has 240 divisors, whose sum is σ = 122180894208. Its totient is φ = 13706880000.

The previous prime is 42220060301. The next prime is 42220060427. The reversal of 42220060400 is 406002224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6501155 + ... + 6507645.

Almost surely, 2^42220060400 is an apocalyptic number.

42220060400 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 42220060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090447104).

42220060400 is an abundant number, since it is smaller than the sum of its proper divisors (79960833808).

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

42220060400 is a wasteful number, since it uses less digits than its factorization.

42220060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42220060400 its reverse (406002224), we get a palindrome (42626062624).

The spelling of 42220060400 in words is "forty-two billion, two hundred twenty million, sixty thousand, four hundred".