42701218560 has 1944 divisors, whose sum is σ = 211069155024. Its totient is φ = 7834337280.

The previous prime is 42701218517. The next prime is 42701218561. The reversal of 42701218560 is 6581210724.

42701218560 is a `hidden beast` number, since 4 + 2 + 70 + 1 + 21 + 8 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42701218561) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1856574709 + ... + 1856574731.

Almost surely, 2^42701218560 is an apocalyptic number.

42701218560 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 42701218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105534577512).

42701218560 is an abundant number, since it is smaller than the sum of its proper divisors (168367936464).

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

42701218560 is a wasteful number, since it uses less digits than its factorization.

42701218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 42701218560 in words is "forty-two billion, seven hundred one million, two hundred eighteen thousand, five hundred sixty".