42200416720 has 160 divisors (see below), whose sum is σ = 125171988480. Its totient is φ = 12847403520.

The previous prime is 42200416693. The next prime is 42200416799. The reversal of 42200416720 is 2761400224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 185221 + ... + 344539.

It is an arithmetic number, because the mean of its divisors is an integer number (782324928).

Almost surely, 2^42200416720 is an apocalyptic number.

42200416720 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 42200416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62585994240).

42200416720 is an abundant number, since it is smaller than the sum of its proper divisors (82971571760).

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

42200416720 is a wasteful number, since it uses less digits than its factorization.

42200416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159393 (or 159387 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 42200416720 its reverse (2761400224), we get a palindrome (44961816944).

The spelling of 42200416720 in words is "forty-two billion, two hundred million, four hundred sixteen thousand, seven hundred twenty".