42449988067200 has 1152 divisors, whose sum is σ = 184462793536320. Its totient is φ = 9073817026560.

The previous prime is 42449988067189. The next prime is 42449988067237. The reversal of 42449988067200 is 276088994424.

42449988067200 is a `hidden beast` number, since 4 + 2 + 4 + 499 + 8 + 80 + 67 + 2 + 0 + 0 = 666.

42449988067200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 538030954 + ... + 538109846.

Almost surely, 2^{42449988067200} is an apocalyptic number.

42449988067200 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 42449988067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92231396768160).

42449988067200 is an abundant number, since it is smaller than the sum of its proper divisors (142012805469120).

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

42449988067200 is a wasteful number, since it uses less digits than its factorization.

42449988067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79104 (or 79084 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 42449988067200 in words is "forty-two trillion, four hundred forty-nine billion, nine hundred eighty-eight million, sixty-seven thousand, two hundred".