43140825139200 has 288 divisors, whose sum is σ = 142693024874400. Its totient is φ = 11498128015360.

The previous prime is 43140825139199. The next prime is 43140825139219. The reversal of 43140825139200 is 293152804134.

It is a happy number.

It is a super-2 number, since 2×43140825139200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293763391 + ... + 293910209.

It is an arithmetic number, because the mean of its divisors is an integer number (495461891925).

Almost surely, 2^{43140825139200} is an apocalyptic number.

43140825139200 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 43140825139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71346512437200).

43140825139200 is an abundant number, since it is smaller than the sum of its proper divisors (99552199735200).

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

43140825139200 is a wasteful number, since it uses less digits than its factorization.

43140825139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148767 (or 148742 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 43140825139200 in words is "forty-three trillion, one hundred forty billion, eight hundred twenty-five million, one hundred thirty-nine thousand, two hundred".