42438491504640 has 1728 divisors, whose sum is σ = 187263215193600. Its totient is φ = 8813763624960.

The previous prime is 42438491504639. The next prime is 42438491504713. The reversal of 42438491504640 is 4640519483424.

42438491504640 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 8 + 4 + 91 + 504 + 6 + 40 = 666.

It is a super-2 number, since 2×42438491504640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22254058567 + ... + 22254060473.

It is an arithmetic number, because the mean of its divisors is an integer number (108369916200).

Almost surely, 2^{42438491504640} is an apocalyptic number.

42438491504640 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 42438491504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93631607596800).

42438491504640 is an abundant number, since it is smaller than the sum of its proper divisors (144824723688960).

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

42438491504640 is an equidigital number, since it uses as much as digits as its factorization.

42438491504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 42438491504640 in words is "forty-two trillion, four hundred thirty-eight billion, four hundred ninety-one million, five hundred four thousand, six hundred forty".