42825708000 has 144 divisors (see below), whose sum is σ = 151988565456. Its totient is φ = 11420179200.

The previous prime is 42825707999. The next prime is 42825708001. The reversal of 42825708000 is 80752824.

It is a happy number.

42825708000 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 570 + 80 + 0 + 0 = 666.

42825708000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42825707999) and next prime (42825708001).

It is a tau number, because it is divible by the number of its divisors (144).

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 (42825708001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558802 + ... + 630801.

It is an arithmetic number, because the mean of its divisors is an integer number (1055476149).

Almost surely, 2^42825708000 is an apocalyptic number.

42825708000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42825708000 is an abundant number, since it is smaller than the sum of its proper divisors (109162857456).

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

42825708000 is a wasteful number, since it uses less digits than its factorization.

42825708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189634 (or 1189613 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 42825708000 in words is "forty-two billion, eight hundred twenty-five million, seven hundred eight thousand".