42334721280 has 486 divisors, whose sum is σ = 154272023178. Its totient is φ = 11130255360.

The previous prime is 42334721269. The next prime is 42334721281. The reversal of 42334721280 is 8212743324.

It is a happy number.

42334721280 is a `hidden beast` number, since 4 + 23 + 347 + 212 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33867777024 + 8466944256 = 184032^2 + 92016^2 .

It is a tau number, because it is divible by the number of its divisors (486).

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 (42334721281) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 596263645 + ... + 596263715.

Almost surely, 2^42334721280 is an apocalyptic number.

42334721280 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 42334721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77136011589).

42334721280 is an abundant number, since it is smaller than the sum of its proper divisors (111937301898).

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

42334721280 is an frugal number, since it uses more digits than its factorization.

42334721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42334721280 in words is "forty-two billion, three hundred thirty-four million, seven hundred twenty-one thousand, two hundred eighty".