43142400 has 324 divisors, whose sum is σ = 177926112. Its totient is φ = 9768960.

The previous prime is 43142389. The next prime is 43142417. The reversal of 43142400 is 424134.

It is a super-2 number, since 2×43142400² = 3722533355520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403147 + ... + 403253.

Almost surely, 2^43142400 is an apocalyptic number.

43142400 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 43142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88963056).

43142400 is an abundant number, since it is smaller than the sum of its proper divisors (134783712).

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

43142400 is a wasteful number, since it uses less digits than its factorization.

43142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

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

The square root of 43142400 is about 6568.2874480339. The cubic root of 43142400 is about 350.7261116114.

Adding to 43142400 its reverse (424134), we get a palindrome (43566534).

The spelling of 43142400 in words is "forty-three million, one hundred forty-two thousand, four hundred".