42440232804480 has 1024 divisors, whose sum is σ = 176555086848000. Its totient is φ = 9431469342720.

The previous prime is 42440232804419. The next prime is 42440232804499. The reversal of 42440232804480 is 8440823204424.

42440232804480 is a `hidden beast` number, since 4 + 24 + 40 + 2 + 32 + 80 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8194674531 + ... + 8194679709.

It is an arithmetic number, because the mean of its divisors is an integer number (172417077000).

Almost surely, 2^{42440232804480} is an apocalyptic number.

42440232804480 is a gapful number since it is divisible by the number (40) 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 42440232804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88277543424000).

42440232804480 is an abundant number, since it is smaller than the sum of its proper divisors (134114854043520).

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

42440232804480 is a wasteful number, since it uses less digits than its factorization.

42440232804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 45.

The spelling of 42440232804480 in words is "forty-two trillion, four hundred forty billion, two hundred thirty-two million, eight hundred four thousand, four hundred eighty".