42625425280 has 128 divisors (see below), whose sum is σ = 108806353920. Its totient is φ = 15929346048.

The previous prime is 42625425253. The next prime is 42625425317. The reversal of 42625425280 is 8252452624.

42625425280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599289 + ... + 666631.

It is an arithmetic number, because the mean of its divisors is an integer number (850049640).

Almost surely, 2^42625425280 is an apocalyptic number.

42625425280 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 42625425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54403176960).

42625425280 is an abundant number, since it is smaller than the sum of its proper divisors (66180928640).

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

42625425280 is a wasteful number, since it uses less digits than its factorization.

42625425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67428 (or 67416 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 42625425280 in words is "forty-two billion, six hundred twenty-five million, four hundred twenty-five thousand, two hundred eighty".