42406358333248 has 504 divisors, whose sum is σ = 109170962360712. Its totient is φ = 16198963200000.

The previous prime is 42406358333221. The next prime is 42406358333257. The reversal of 42406358333248 is 84233385360424.

It can be written as a sum of positive squares in 4 ways, for example, as 1304821874944 + 41101536458304 = 1142288^2 + 6411048^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23546005948 + ... + 23546007748.

It is an arithmetic number, because the mean of its divisors is an integer number (216609052303).

Almost surely, 2^{42406358333248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406358333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585481180356).

42406358333248 is an abundant number, since it is smaller than the sum of its proper divisors (66764604027464).

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

42406358333248 is a wasteful number, since it uses less digits than its factorization.

42406358333248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 55.

The spelling of 42406358333248 in words is "forty-two trillion, four hundred six billion, three hundred fifty-eight million, three hundred thirty-three thousand, two hundred forty-eight".