42140301705216 has 3600 divisors, whose sum is σ = 167168950502400. Its totient is φ = 10434222489600.

The previous prime is 42140301705211. The next prime is 42140301705217. The reversal of 42140301705216 is 61250710304124.

42140301705216 is a `hidden beast` number, since 4 + 21 + 40 + 3 + 0 + 1 + 70 + 521 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (42140301705211) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1359364571121 + ... + 1359364571151.

It is an arithmetic number, because the mean of its divisors is an integer number (46435819584).

Almost surely, 2^{42140301705216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42140301705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83584475251200).

42140301705216 is an abundant number, since it is smaller than the sum of its proper divisors (125028648797184).

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

42140301705216 is a wasteful number, since it uses less digits than its factorization.

42140301705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42140301705216 in words is "forty-two trillion, one hundred forty billion, three hundred one million, seven hundred five thousand, two hundred sixteen".