42234641504 has 72 divisors (see below), whose sum is σ = 91761914664. Its totient is φ = 19120640000.

The previous prime is 42234641497. The next prime is 42234641531. The reversal of 42234641504 is 40514643224.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 950144 + ... + 993600.

It is an arithmetic number, because the mean of its divisors is an integer number (1274471037).

Almost surely, 2^42234641504 is an apocalyptic number.

42234641504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45880957332).

42234641504 is an abundant number, since it is smaller than the sum of its proper divisors (49527273160).

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

42234641504 is a wasteful number, since it uses less digits than its factorization.

42234641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43740 (or 43721 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 42234641504 in words is "forty-two billion, two hundred thirty-four million, six hundred forty-one thousand, five hundred four".