42234310432400 has 60 divisors (see below), whose sum is σ = 101497184056500. Its totient is φ = 16888853706240.

The previous prime is 42234310432393. The next prime is 42234310432403. The reversal of 42234310432400 is 423401343224.

It can be written as a sum of positive squares in 6 ways, for example, as 1900074778624 + 40334235653776 = 1378432^2 + 6350924^2 .

It is not an unprimeable number, because it can be changed into a prime (42234310432403) 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, 13830875 + ... + 16606074.

It is an arithmetic number, because the mean of its divisors is an integer number (1691619734275).

Almost surely, 2^{42234310432400} is an apocalyptic number.

42234310432400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42234310432400 is an abundant number, since it is smaller than the sum of its proper divisors (59262873624100).

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

42234310432400 is a wasteful number, since it uses less digits than its factorization.

42234310432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30440436 (or 30440425 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 42234310432400 its reverse (423401343224), we get a palindrome (42657711775624).

The spelling of 42234310432400 in words is "forty-two trillion, two hundred thirty-four billion, three hundred ten million, four hundred thirty-two thousand, four hundred".