43142430400 has 84 divisors (see below), whose sum is σ = 108746711640. Its totient is φ = 16836044800.

The previous prime is 43142430367. The next prime is 43142430407. The reversal of 43142430400 is 403424134.

43142430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43142430400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (43142430407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263230 + ... + 394429.

It is an arithmetic number, because the mean of its divisors is an integer number (1294603710).

Almost surely, 2^43142430400 is an apocalyptic number.

43142430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43142430400 is an abundant number, since it is smaller than the sum of its proper divisors (65604281240).

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

43142430400 is a wasteful number, since it uses less digits than its factorization.

43142430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657722 (or 657707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 43142430400 its reverse (403424134), we get a palindrome (43545854534).

The spelling of 43142430400 in words is "forty-three billion, one hundred forty-two million, four hundred thirty thousand, four hundred".