42015929886720 has 768 divisors, whose sum is σ = 157429464192000. Its totient is φ = 10600020246528.

The previous prime is 42015929886719. The next prime is 42015929886727. The reversal of 42015929886720 is 2768892951024.

42015929886720 is a `hidden beast` number, since 420 + 1 + 59 + 2 + 9 + 88 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (42015929886727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4134200359 + ... + 4134210521.

It is an arithmetic number, because the mean of its divisors is an integer number (204986281500).

Almost surely, 2^{42015929886720} is an apocalyptic number.

42015929886720 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 42015929886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78714732096000).

42015929886720 is an abundant number, since it is smaller than the sum of its proper divisors (115413534305280).

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

42015929886720 is a wasteful number, since it uses less digits than its factorization.

42015929886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 10979 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 42015929886720 in words is "forty-two trillion, fifteen billion, nine hundred twenty-nine million, eight hundred eighty-six thousand, seven hundred twenty".