43142400000 has 864 divisors, whose sum is σ = 179656626240. Its totient is φ = 9768960000.

The previous prime is 43142399977. The next prime is 43142400011. The reversal of 43142400000 is 424134.

It is a super-2 number, since 2×43142400000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403199947 + ... + 403200053.

It is an arithmetic number, because the mean of its divisors is an integer number (207935910).

Almost surely, 2^43142400000 is an apocalyptic number.

43142400000 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 43142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89828313120).

43142400000 is an abundant number, since it is smaller than the sum of its proper divisors (136514226240).

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

43142400000 is an equidigital number, since it uses as much as digits as its factorization.

43142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 43142400000 its reverse (424134), we get a palindrome (43142824134).

The spelling of 43142400000 in words is "forty-three billion, one hundred forty-two million, four hundred thousand".