42721259760 has 400 divisors, whose sum is σ = 159126422400. Its totient is φ = 10584317952.

The previous prime is 42721259741. The next prime is 42721259761. The reversal of 42721259760 is 6795212724.

42721259760 is a `hidden beast` number, since 42 + 7 + 2 + 12 + 597 + 6 + 0 = 666.

It is a super-3 number, since 3×42721259760³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721259761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8700186 + ... + 8705094.

It is an arithmetic number, because the mean of its divisors is an integer number (397816056).

Almost surely, 2^42721259760 is an apocalyptic number.

42721259760 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 42721259760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79563211200).

42721259760 is an abundant number, since it is smaller than the sum of its proper divisors (116405162640).

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

42721259760 is a wasteful number, since it uses less digits than its factorization.

42721259760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 42721259760 in words is "forty-two billion, seven hundred twenty-one million, two hundred fifty-nine thousand, seven hundred sixty".