42434726880 has 192 divisors, whose sum is σ = 164516341248. Its totient is φ = 8953251840.

The previous prime is 42434726869. The next prime is 42434726909. The reversal of 42434726880 is 8862743424.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 442066 + ... + 529425.

It is an arithmetic number, because the mean of its divisors is an integer number (856855944).

Almost surely, 2^42434726880 is an apocalyptic number.

42434726880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434726880 is an abundant number, since it is smaller than the sum of its proper divisors (122081614368).

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

42434726880 is a wasteful number, since it uses less digits than its factorization.

42434726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971529 (or 971521 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 42434726880 in words is "forty-two billion, four hundred thirty-four million, seven hundred twenty-six thousand, eight hundred eighty".