42890208362496 has 1920 divisors, whose sum is σ = 153496020625920. Its totient is φ = 11833096273920.

The previous prime is 42890208362453. The next prime is 42890208362501. The reversal of 42890208362496 is 69426380209824.

42890208362496 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 0 + 2 + 0 + 83 + 62 + 496 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247920279466 + ... + 247920279638.

It is an arithmetic number, because the mean of its divisors is an integer number (79945844076).

Almost surely, 2^{42890208362496} 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 42890208362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76748010312960).

42890208362496 is an abundant number, since it is smaller than the sum of its proper divisors (110605812263424).

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

42890208362496 is an equidigital number, since it uses as much as digits as its factorization.

42890208362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 42890208362496 in words is "forty-two trillion, eight hundred ninety billion, two hundred eight million, three hundred sixty-two thousand, four hundred ninety-six".