4173424669440 has 864 divisors, whose sum is σ = 16086173515776. Its totient is φ = 992050053120.

The previous prime is 4173424669391. The next prime is 4173424669441. The reversal of 4173424669440 is 449664243714.

4173424669440 is a `hidden beast` number, since 4 + 1 + 73 + 424 + 66 + 94 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4173424669441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3839396577 + ... + 3839397663.

It is an arithmetic number, because the mean of its divisors is an integer number (18618256384).

Almost surely, 2^{4173424669440} is an apocalyptic number.

4173424669440 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 4173424669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043086757888).

4173424669440 is an abundant number, since it is smaller than the sum of its proper divisors (11912748846336).

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

4173424669440 is a wasteful number, since it uses less digits than its factorization.

4173424669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4173424669440 in words is "four trillion, one hundred seventy-three billion, four hundred twenty-four million, six hundred sixty-nine thousand, four hundred forty".