42208905600 has 1152 divisors, whose sum is σ = 172368967680. Its totient is φ = 10152345600.

The previous prime is 42208905581. The next prime is 42208905601. The reversal of 42208905600 is 650980224.

It is a happy number.

42208905600 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 8 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×42208905600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42208905601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 409795149 + ... + 409795251.

It is an arithmetic number, because the mean of its divisors is an integer number (149625840).

Almost surely, 2^42208905600 is an apocalyptic number.

42208905600 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 42208905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184483840).

42208905600 is an abundant number, since it is smaller than the sum of its proper divisors (130160062080).

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

42208905600 is a wasteful number, since it uses less digits than its factorization.

42208905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42208905600 in words is "forty-two billion, two hundred eight million, nine hundred five thousand, six hundred".