42540486560 has 384 divisors, whose sum is σ = 125252241408. Its totient is φ = 13436928000.

The previous prime is 42540486551. The next prime is 42540486577. The reversal of 42540486560 is 6568404524.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 63 ways as a sum of consecutive naturals, for example, 26242550 + ... + 26244170.

It is an arithmetic number, because the mean of its divisors is an integer number (326177712).

Almost surely, 2^42540486560 is an apocalyptic number.

42540486560 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 42540486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62626120704).

42540486560 is an abundant number, since it is smaller than the sum of its proper divisors (82711754848).

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

42540486560 is a wasteful number, since it uses less digits than its factorization.

42540486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 42540486560 in words is "forty-two billion, five hundred forty million, four hundred eighty-six thousand, five hundred sixty".