42545140560 has 480 divisors, whose sum is σ = 161449666560. Its totient is φ = 9962016768.

The previous prime is 42545140549. The next prime is 42545140667. The reversal of 42545140560 is 6504154524.

42545140560 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 51 + 40 + 560 = 666.

It is a super-2 number, since 2×42545140560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 49298689 + ... + 49299551.

It is an arithmetic number, because the mean of its divisors is an integer number (336353472).

Almost surely, 2^42545140560 is an apocalyptic number.

42545140560 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 42545140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724833280).

42545140560 is an abundant number, since it is smaller than the sum of its proper divisors (118904526000).

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

42545140560 is a wasteful number, since it uses less digits than its factorization.

42545140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

It can be divided in two parts, 42545140 and 560, that added together give a triangular number (42545700 = T₉₂₂₄).

The spelling of 42545140560 in words is "forty-two billion, five hundred forty-five million, one hundred forty thousand, five hundred sixty".