42449256240 has 80 divisors (see below), whose sum is σ = 131851605600. Its totient is φ = 11297529856.

The previous prime is 42449256193. The next prime is 42449256271. The reversal of 42449256240 is 4265294424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42449256192 and 42449256201.

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 15 ways as a sum of consecutive naturals, for example, 51585 + ... + 295904.

It is an arithmetic number, because the mean of its divisors is an integer number (1648145070).

Almost surely, 2^42449256240 is an apocalyptic number.

42449256240 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 42449256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65925802800).

42449256240 is an abundant number, since it is smaller than the sum of its proper divisors (89402349360).

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

42449256240 is a wasteful number, since it uses less digits than its factorization.

42449256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348014 (or 348008 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 42449256240 in words is "forty-two billion, four hundred forty-nine million, two hundred fifty-six thousand, two hundred forty".