42541950048 has 96 divisors (see below), whose sum is σ = 120305971296. Its totient is φ = 13085134848.

The previous prime is 42541950043. The next prime is 42541950053. The reversal of 42541950048 is 84005914524.

It is a Cunningham number, because it is equal to 206257²-1.

It is an interprime number because it is at equal distance from previous prime (42541950043) and next prime (42541950053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42541949991 and 42541950009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42541950043) by changing a digit.

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, 5358690 + ... + 5366622.

It is an arithmetic number, because the mean of its divisors is an integer number (1253187201).

Almost surely, 2^42541950048 is an apocalyptic number.

42541950048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42541950048 is an abundant number, since it is smaller than the sum of its proper divisors (77764021248).

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

42541950048 is a wasteful number, since it uses less digits than its factorization.

42541950048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 42541950048 in words is "forty-two billion, five hundred forty-one million, nine hundred fifty thousand, forty-eight".