42664495104 has 576 divisors, whose sum is σ = 160430699520. Its totient is φ = 10591764480.

The previous prime is 42664495091. The next prime is 42664495109. The reversal of 42664495104 is 40159446624.

42664495104 is a `hidden beast` number, since 42 + 66 + 449 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 42664495104.

It is not an unprimeable number, because it can be changed into a prime (42664495109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32642419 + ... + 32643725.

It is an arithmetic number, because the mean of its divisors is an integer number (278525520).

Almost surely, 2^42664495104 is an apocalyptic number.

42664495104 is a gapful number since it is divisible by the number (44) 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 42664495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80215349760).

42664495104 is an abundant number, since it is smaller than the sum of its proper divisors (117766204416).

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

42664495104 is a wasteful number, since it uses less digits than its factorization.

42664495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42664495104 in words is "forty-two billion, six hundred sixty-four million, four hundred ninety-five thousand, one hundred four".