42449600666304 has 1344 divisors, whose sum is σ = 144096714478080. Its totient is φ = 11830601318400.

The previous prime is 42449600666303. The next prime is 42449600666323. The reversal of 42449600666304 is 40366600694424.

It is a happy number.

It is a super-2 number, since 2×42449600666304² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42449600666303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81165584187 + ... + 81165584709.

It is an arithmetic number, because the mean of its divisors is an integer number (107214817320).

Almost surely, 2^{42449600666304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42449600666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72048357239040).

42449600666304 is an abundant number, since it is smaller than the sum of its proper divisors (101647113811776).

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

42449600666304 is a wasteful number, since it uses less digits than its factorization.

42449600666304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 42449600666304 in words is "forty-two trillion, four hundred forty-nine billion, six hundred million, six hundred sixty-six thousand, three hundred four".