42701935320 has 512 divisors, whose sum is σ = 167902848000. Its totient is φ = 9540218880.

The previous prime is 42701935319. The next prime is 42701935327. The reversal of 42701935320 is 2353910724.

42701935320 is a `hidden beast` number, since 4 + 270 + 19 + 353 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42701935327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8349084 + ... + 8354196.

It is an arithmetic number, because the mean of its divisors is an integer number (327935250).

Almost surely, 2^42701935320 is an apocalyptic number.

42701935320 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 42701935320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83951424000).

42701935320 is an abundant number, since it is smaller than the sum of its proper divisors (125200912680).

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

42701935320 is a wasteful number, since it uses less digits than its factorization.

42701935320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 42701935320 in words is "forty-two billion, seven hundred one million, nine hundred thirty-five thousand, three hundred twenty".