43442805042000 has 2160 divisors, whose sum is σ = 196315758795312. Its totient is φ = 8917093785600.

The previous prime is 43442805041969. The next prime is 43442805042041. The reversal of 43442805042000 is 24050824434.

43442805042000 is a `hidden beast` number, since 4 + 3 + 442 + 8 + 0 + 5 + 0 + 4 + 200 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 42120203840064 + 1322601201936 = 6490008^2 + 1150044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5515142062 + ... + 5515149938.

Almost surely, 2^{43442805042000} is an apocalyptic number.

43442805042000 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 43442805042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98157879397656).

43442805042000 is an abundant number, since it is smaller than the sum of its proper divisors (152872953753312).

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

43442805042000 is a wasteful number, since it uses less digits than its factorization.

43442805042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 43442805042000 its reverse (24050824434), we get a palindrome (43466855866434).

The spelling of 43442805042000 in words is "forty-three trillion, four hundred forty-two billion, eight hundred five million, forty-two thousand".