42034434334240 has 96 divisors (see below), whose sum is σ = 99515342646720. Its totient is φ = 16778421888000.

The previous prime is 42034434334177. The next prime is 42034434334253. The reversal of 42034434334240 is 4243343443024.

42034434334240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42034434334193 and 42034434334202.

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 15 ways as a sum of consecutive naturals, for example, 164473755 + ... + 164729125.

It is an arithmetic number, because the mean of its divisors is an integer number (1036618152570).

Almost surely, 2^{42034434334240} is an apocalyptic number.

42034434334240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42034434334240 is an abundant number, since it is smaller than the sum of its proper divisors (57480908312480).

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

42034434334240 is a wasteful number, since it uses less digits than its factorization.

42034434334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257546 (or 257538 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 42034434334240 its reverse (4243343443024), we get a palindrome (46277777777264).

The spelling of 42034434334240 in words is "forty-two trillion, thirty-four billion, four hundred thirty-four million, three hundred thirty-four thousand, two hundred forty".