42034466443024 has 20 divisors (see below), whose sum is σ = 88845576800400. Its totient is φ = 19106575655840.

The previous prime is 42034466442967. The next prime is 42034466443027.

42034466443024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42034466443027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119416097674 + ... + 119416098025.

It is an arithmetic number, because the mean of its divisors is an integer number (4442278840020).

Almost surely, 2^{42034466443024} is an apocalyptic number.

42034466443024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42034466443024 is an abundant number, since it is smaller than the sum of its proper divisors (46811110357376).

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

42034466443024 is a wasteful number, since it uses less digits than its factorization.

42034466443024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238832195718 (or 238832195712 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 46.

The spelling of 42034466443024 in words is "forty-two trillion, thirty-four billion, four hundred sixty-six million, four hundred forty-three thousand, twenty-four".