42137746560 has 1024 divisors, whose sum is σ = 186000998400. Its totient is φ = 8778792960.

The previous prime is 42137746543. The next prime is 42137746561. The reversal of 42137746560 is 6564773124.

42137746560 is a `hidden beast` number, since 4 + 2 + 13 + 7 + 74 + 6 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42137746561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199704855 + ... + 199705065.

It is an arithmetic number, because the mean of its divisors is an integer number (181641600).

Almost surely, 2^42137746560 is an apocalyptic number.

42137746560 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 42137746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93000499200).

42137746560 is an abundant number, since it is smaller than the sum of its proper divisors (143863251840).

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

42137746560 is a wasteful number, since it uses less digits than its factorization.

42137746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42137746560 in words is "forty-two billion, one hundred thirty-seven million, seven hundred forty-six thousand, five hundred sixty".