42849883440 has 640 divisors, whose sum is σ = 182541649920. Its totient is φ = 8996769792.

The previous prime is 42849883429. The next prime is 42849883487. The reversal of 42849883440 is 4438894824.

42849883440 is a `hidden beast` number, since 42 + 84 + 9 + 8 + 83 + 440 = 666.

It is a super-4 number, since 4×42849883440⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 54446727 + ... + 54447513.

It is an arithmetic number, because the mean of its divisors is an integer number (285221328).

Almost surely, 2^42849883440 is an apocalyptic number.

42849883440 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 42849883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91270824960).

42849883440 is an abundant number, since it is smaller than the sum of its proper divisors (139691766480).

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

42849883440 is a wasteful number, since it uses less digits than its factorization.

42849883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 42849883440 in words is "forty-two billion, eight hundred forty-nine million, eight hundred eighty-three thousand, four hundred forty".