42742425600 has 864 divisors, whose sum is σ = 182922667200. Its totient is φ = 9754214400.

The previous prime is 42742425599. The next prime is 42742425601. The reversal of 42742425600 is 652424724.

42742425600 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 2 + 42 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42742425599) and next prime (42742425601).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (42742425601) 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, 67737285 + ... + 67737915.

It is an arithmetic number, because the mean of its divisors is an integer number (211716050).

Almost surely, 2^42742425600 is an apocalyptic number.

42742425600 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 42742425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91461333600).

42742425600 is an abundant number, since it is smaller than the sum of its proper divisors (140180241600).

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

42742425600 is a wasteful number, since it uses less digits than its factorization.

42742425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42742425600 in words is "forty-two billion, seven hundred forty-two million, four hundred twenty-five thousand, six hundred".