42087605280 has 576 divisors, whose sum is σ = 165493964160. Its totient is φ = 8936718336.

The previous prime is 42087605269. The next prime is 42087605321. The reversal of 42087605280 is 8250678024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23683752 + ... + 23685528.

It is an arithmetic number, because the mean of its divisors is an integer number (287315910).

Almost surely, 2^42087605280 is an apocalyptic number.

42087605280 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 42087605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82746982080).

42087605280 is an abundant number, since it is smaller than the sum of its proper divisors (123406358880).

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

42087605280 is a wasteful number, since it uses less digits than its factorization.

42087605280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 42087605280 in words is "forty-two billion, eighty-seven million, six hundred five thousand, two hundred eighty".