42731657280 has 336 divisors, whose sum is σ = 158936856624. Its totient is φ = 10475274240.

The previous prime is 42731657261. The next prime is 42731657291. The reversal of 42731657280 is 8275613724.

42731657280 is a `hidden beast` number, since 4 + 2 + 7 + 316 + 57 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 42729850944 = 1344^2 + 206712^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9619860 + ... + 9624300.

It is an arithmetic number, because the mean of its divisors is an integer number (473026359).

Almost surely, 2^42731657280 is an apocalyptic number.

42731657280 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 42731657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79468428312).

42731657280 is an abundant number, since it is smaller than the sum of its proper divisors (116205199344).

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

42731657280 is a wasteful number, since it uses less digits than its factorization.

42731657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42731657280 in words is "forty-two billion, seven hundred thirty-one million, six hundred fifty-seven thousand, two hundred eighty".