42000402242000 has 40 divisors (see below), whose sum is σ = 101556972625992. Its totient is φ = 16800160896000.

The previous prime is 42000402241939. The next prime is 42000402242011. The reversal of 42000402242000 is 24220400024.

42000402242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9837983541136 + 32162418700864 = 3136556^2 + 5671192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10500098561 + ... + 10500102560.

Almost surely, 2^{42000402242000} is an apocalyptic number.

42000402242000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000402242000 is an abundant number, since it is smaller than the sum of its proper divisors (59556570383992).

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

42000402242000 is a wasteful number, since it uses less digits than its factorization.

42000402242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000201144 (or 21000201128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42000402242000 its reverse (24220400024), we get a palindrome (42024622642024).

The spelling of 42000402242000 in words is "forty-two trillion, four hundred two million, two hundred forty-two thousand".