42441467212800 has 396 divisors, whose sum is σ = 152048373459840. Its totient is φ = 11311182397440.

The previous prime is 42441467212763. The next prime is 42441467212801. The reversal of 42441467212800 is 821276414424.

42441467212800 is a `hidden beast` number, since 4 + 24 + 41 + 467 + 2 + 128 + 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 not an unprimeable number, because it can be changed into a prime (42441467212801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405221239 + ... + 405325961.

It is an arithmetic number, because the mean of its divisors is an integer number (383960539040).

Almost surely, 2^{42441467212800} is an apocalyptic number.

42441467212800 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 42441467212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76024186729920).

42441467212800 is an abundant number, since it is smaller than the sum of its proper divisors (109606906247040).

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

42441467212800 is a wasteful number, since it uses less digits than its factorization.

42441467212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106518 (or 106492 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 42441467212800 in words is "forty-two trillion, four hundred forty-one billion, four hundred sixty-seven million, two hundred twelve thousand, eight hundred".