42447249600 has 252 divisors, whose sum is σ = 161999959464. Its totient is φ = 9702174720.

The previous prime is 42447249599. The next prime is 42447249617. The reversal of 42447249600 is 694274424.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144964 + ... + 325436.

It is an arithmetic number, because the mean of its divisors is an integer number (642856982).

Almost surely, 2^42447249600 is an apocalyptic number.

42447249600 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 42447249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80999979732).

42447249600 is an abundant number, since it is smaller than the sum of its proper divisors (119552709864).

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

42447249600 is a wasteful number, since it uses less digits than its factorization.

42447249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180512 (or 180490 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 42447249600 in words is "forty-two billion, four hundred forty-seven million, two hundred forty-nine thousand, six hundred".