42013713280 has 512 divisors, whose sum is σ = 129724416000. Its totient is φ = 12897239040.

The previous prime is 42013713277. The next prime is 42013713281. The reversal of 42013713280 is 8231731024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013713281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306669372 + ... + 306669508.

It is an arithmetic number, because the mean of its divisors is an integer number (253368000).

Almost surely, 2^42013713280 is an apocalyptic number.

42013713280 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 42013713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64862208000).

42013713280 is an abundant number, since it is smaller than the sum of its proper divisors (87710702720).

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

42013713280 is a wasteful number, since it uses less digits than its factorization.

42013713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 42013713280 in words is "forty-two billion, thirteen million, seven hundred thirteen thousand, two hundred eighty".