42449595552 has 288 divisors, whose sum is σ = 153369216000. Its totient is φ = 10834145280.

The previous prime is 42449595533. The next prime is 42449595647. The reversal of 42449595552 is 25559594424.

42449595552 is a `hidden beast` number, since 4 + 2 + 4 + 49 + 595 + 5 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786324 + ... + 838572.

It is an arithmetic number, because the mean of its divisors is an integer number (532532000).

Almost surely, 2^42449595552 is an apocalyptic number.

42449595552 is a gapful number since it is divisible by the number (42) 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 42449595552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76684608000).

42449595552 is an abundant number, since it is smaller than the sum of its proper divisors (110919620448).

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

42449595552 is a wasteful number, since it uses less digits than its factorization.

42449595552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52316 (or 52305 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 42449595552 in words is "forty-two billion, four hundred forty-nine million, five hundred ninety-five thousand, five hundred fifty-two".