42404224131200 has 48 divisors (see below), whose sum is σ = 104751684932010. Its totient is φ = 16961689651200.

The previous prime is 42404224131133. The next prime is 42404224131209. The reversal of 42404224131200 is 213142240424.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41095176944704 + 1309047186496 = 6410552^2 + 1144136^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42404224131209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6625656821 + ... + 6625663220.

Almost surely, 2^{42404224131200} is an apocalyptic number.

42404224131200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404224131200 is an abundant number, since it is smaller than the sum of its proper divisors (62347460800810).

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

42404224131200 is a wasteful number, since it uses less digits than its factorization.

42404224131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251320065 (or 13251320048 counting only the distinct ones).

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

Adding to 42404224131200 its reverse (213142240424), we get a palindrome (42617366371624).

The spelling of 42404224131200 in words is "forty-two trillion, four hundred four billion, two hundred twenty-four million, one hundred thirty-one thousand, two hundred".