42395486075712 has 336 divisors, whose sum is σ = 153329580698112. Its totient is φ = 10879141155840.

The previous prime is 42395486075711. The next prime is 42395486075731. The reversal of 42395486075712 is 21757068459324.

It is a happy number.

42395486075712 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 5 + 4 + 8 + 607 + 5 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42395486075712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42395486075711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2077138 + ... + 9439569.

It is an arithmetic number, because the mean of its divisors is an integer number (456338037792).

It is a 1-persistent number, because it is pandigital, but 2⋅42395486075712 = 84790972151424 is not.

Almost surely, 2^{42395486075712} is an apocalyptic number.

42395486075712 is a gapful number since it is divisible by the number (42) 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 42395486075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76664790349056).

42395486075712 is an abundant number, since it is smaller than the sum of its proper divisors (110934094622400).

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

42395486075712 is a wasteful number, since it uses less digits than its factorization.

42395486075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516826 (or 11516813 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 42395486075712 in words is "forty-two trillion, three hundred ninety-five billion, four hundred eighty-six million, seventy-five thousand, seven hundred twelve".