42059396448 has 288 divisors, whose sum is σ = 131839003296. Its totient is φ = 13144301568.

The previous prime is 42059396447. The next prime is 42059396459. The reversal of 42059396448 is 84469395024.

42059396448 is a `hidden beast` number, since 4 + 2 + 0 + 593 + 9 + 6 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 42059396394 and 42059396403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42059396443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49307190 + ... + 49308042.

It is an arithmetic number, because the mean of its divisors is an integer number (457774317).

Almost surely, 2^42059396448 is an apocalyptic number.

42059396448 is a gapful number since it is divisible by the number (48) 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 42059396448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65919501648).

42059396448 is an abundant number, since it is smaller than the sum of its proper divisors (89779606848).

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

42059396448 is a wasteful number, since it uses less digits than its factorization.

42059396448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 42059396448 in words is "forty-two billion, fifty-nine million, three hundred ninety-six thousand, four hundred forty-eight".