42485097600 has 576 divisors, whose sum is σ = 168255079200. Its totient is φ = 10120396800.

The previous prime is 42485097581. The next prime is 42485097607. The reversal of 42485097600 is 679058424.

It is a happy number.

42485097600 is a `hidden beast` number, since 42 + 48 + 509 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (42485097607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18690064 + ... + 18692336.

Almost surely, 2^42485097600 is an apocalyptic number.

42485097600 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 42485097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84127539600).

42485097600 is an abundant number, since it is smaller than the sum of its proper divisors (125769981600).

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

42485097600 is a wasteful number, since it uses less digits than its factorization.

42485097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42485097600 in words is "forty-two billion, four hundred eighty-five million, ninety-seven thousand, six hundred".