42412420133000 has 64 divisors (see below), whose sum is σ = 99969479953200. Its totient is φ = 16841136115200.

The previous prime is 42412420132993. The next prime is 42412420133009. The reversal of 42412420133000 is 33102421424.

It can be written as a sum of positive squares in 8 ways, for example, as 1036881939076 + 41375538193924 = 1018274^2 + 6432382^2 .

It is not an unprimeable number, because it can be changed into a prime (42412420133009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154652855 + ... + 154926854.

Almost surely, 2^{42412420133000} is an apocalyptic number.

42412420133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42412420133000 is an abundant number, since it is smaller than the sum of its proper divisors (57557059820200).

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

42412420133000 is a wasteful number, since it uses less digits than its factorization.

42412420133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309579867 (or 309579853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42412420133000 its reverse (33102421424), we get a palindrome (42445522554424).

The spelling of 42412420133000 in words is "forty-two trillion, four hundred twelve billion, four hundred twenty million, one hundred thirty-three thousand".