42209596800 has 768 divisors, whose sum is σ = 178549286400. Its totient is φ = 9538560000.

The previous prime is 42209596771. The next prime is 42209596817. The reversal of 42209596800 is 869590224.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 61084455 + ... + 61085145.

It is an arithmetic number, because the mean of its divisors is an integer number (232486050).

Almost surely, 2^42209596800 is an apocalyptic number.

42209596800 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 42209596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89274643200).

42209596800 is an abundant number, since it is smaller than the sum of its proper divisors (136339689600).

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

42209596800 is a wasteful number, since it uses less digits than its factorization.

42209596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42209596800 in words is "forty-two billion, two hundred nine million, five hundred ninety-six thousand, eight hundred".