42085159596480 has 1792 divisors, whose sum is σ = 182058071150592. Its totient is φ = 7953776640000.

The previous prime is 42085159596463. The next prime is 42085159596517. The reversal of 42085159596480 is 8469595158024.

It is a super-2 number, since 2×42085159596480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22614270750 + ... + 22614272610.

It is an arithmetic number, because the mean of its divisors is an integer number (101594905776).

Almost surely, 2^{42085159596480} is an apocalyptic number.

42085159596480 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 42085159596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91029035575296).

42085159596480 is an abundant number, since it is smaller than the sum of its proper divisors (139972911554112).

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

42085159596480 is a wasteful number, since it uses less digits than its factorization.

42085159596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 66.

The spelling of 42085159596480 in words is "forty-two trillion, eighty-five billion, one hundred fifty-nine million, five hundred ninety-six thousand, four hundred eighty".