43141043202400 has 576 divisors, whose sum is σ = 126060412617216. Its totient is φ = 14209873920000.

The previous prime is 43141043202371. The next prime is 43141043202403. The reversal of 43141043202400 is 420234014134.

43141043202400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43141043202400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43141043202403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2015831700 + ... + 2015853100.

It is an arithmetic number, because the mean of its divisors is an integer number (218854883016).

Almost surely, 2^{43141043202400} is an apocalyptic number.

43141043202400 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 43141043202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63030206308608).

43141043202400 is an abundant number, since it is smaller than the sum of its proper divisors (82919369414816).

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

43141043202400 is a wasteful number, since it uses less digits than its factorization.

43141043202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21775 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 43141043202400 its reverse (420234014134), we get a palindrome (43561277216534).

The spelling of 43141043202400 in words is "forty-three trillion, one hundred forty-one billion, forty-three million, two hundred two thousand, four hundred".