42405748560 has 400 divisors, whose sum is σ = 171765792000. Its totient is φ = 9692234496.

The previous prime is 42405748537. The next prime is 42405748571. The reversal of 42405748560 is 6584750424.

42405748560 is a `hidden beast` number, since 4 + 2 + 40 + 5 + 7 + 48 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2213101 + ... + 2232179.

It is an arithmetic number, because the mean of its divisors is an integer number (429414480).

Almost surely, 2^42405748560 is an apocalyptic number.

42405748560 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 42405748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85882896000).

42405748560 is an abundant number, since it is smaller than the sum of its proper divisors (129360043440).

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

42405748560 is a wasteful number, since it uses less digits than its factorization.

42405748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19125 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 42405748560 in words is "forty-two billion, four hundred five million, seven hundred forty-eight thousand, five hundred sixty".