42741785169360 has 240 divisors, whose sum is σ = 145980356034240. Its totient is φ = 11204819619840.

The previous prime is 42741785169359. The next prime is 42741785169389. The reversal of 42741785169360 is 6396158714724.

42741785169360 is a `hidden beast` number, since 4 + 2 + 7 + 41 + 78 + 5 + 169 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×42741785169360⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22783576 + ... + 24588104.

It is an arithmetic number, because the mean of its divisors is an integer number (608251483476).

It is a 1-persistent number, because it is pandigital, but 2⋅42741785169360 = 85483570338720 is not.

Almost surely, 2^{42741785169360} is an apocalyptic number.

42741785169360 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 42741785169360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990178017120).

42741785169360 is an abundant number, since it is smaller than the sum of its proper divisors (103238570864880).

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

42741785169360 is a wasteful number, since it uses less digits than its factorization.

42741785169360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805106 (or 1805097 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 42741785169360 in words is "forty-two trillion, seven hundred forty-one billion, seven hundred eighty-five million, one hundred sixty-nine thousand, three hundred sixty".