42443460259200 has 3072 divisors, whose sum is σ = 209290604544000. Its totient is φ = 8112387686400.

The previous prime is 42443460259177. The next prime is 42443460259229. The reversal of 42443460259200 is 295206434424.

42443460259200 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 34 + 602 + 5 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31048616917 + ... + 31048618283.

It is an arithmetic number, because the mean of its divisors is an integer number (68128452000).

Almost surely, 2^{42443460259200} is an apocalyptic number.

42443460259200 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 42443460259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104645302272000).

42443460259200 is an abundant number, since it is smaller than the sum of its proper divisors (166847144284800).

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

42443460259200 is a wasteful number, since it uses less digits than its factorization.

42443460259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 42443460259200 in words is "forty-two trillion, four hundred forty-three billion, four hundred sixty million, two hundred fifty-nine thousand, two hundred".