42229209600 has 480 divisors, whose sum is σ = 157276183680. Its totient is φ = 11096064000.

The previous prime is 42229209527. The next prime is 42229209623. The reversal of 42229209600 is 690292224.

It is a happy number.

42229209600 is a `hidden beast` number, since 4 + 2 + 2 + 29 + 20 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42229209600² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24536740 + ... + 24538460.

It is an arithmetic number, because the mean of its divisors is an integer number (327658716).

Almost surely, 2^42229209600 is an apocalyptic number.

42229209600 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 42229209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78638091840).

42229209600 is an abundant number, since it is smaller than the sum of its proper divisors (115046974080).

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

42229209600 is a wasteful number, since it uses less digits than its factorization.

42229209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42229209600 in words is "forty-two billion, two hundred twenty-nine million, two hundred nine thousand, six hundred".