43420241122400 has 72 divisors (see below), whose sum is σ = 106034873661864. Its totient is φ = 17362327270400.

The previous prime is 43420241122367. The next prime is 43420241122409. The reversal of 43420241122400 is 422114202434.

It is a happy number.

It is a super-3 number, since 3×43420241122400³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43420241122409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6604037 + ... + 11421636.

It is an arithmetic number, because the mean of its divisors is an integer number (1472706578637).

Almost surely, 2^{43420241122400} is an apocalyptic number.

43420241122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43420241122400 is an abundant number, since it is smaller than the sum of its proper divisors (62614632539464).

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

43420241122400 is a wasteful number, since it uses less digits than its factorization.

43420241122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028704 (or 18028691 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 43420241122400 its reverse (422114202434), we get a palindrome (43842355324834).

The spelling of 43420241122400 in words is "forty-three trillion, four hundred twenty billion, two hundred forty-one million, one hundred twenty-two thousand, four hundred".