4404172750848 has 1224 divisors, whose sum is σ = 15356408382432. Its totient is φ = 1209167511552.

The previous prime is 4404172750837. The next prime is 4404172750931. The reversal of 4404172750848 is 8480572714044.

It is a happy number.

4404172750848 is a `hidden beast` number, since 440 + 4 + 1 + 72 + 7 + 50 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a junction number, because it is equal to n+sod(n) for n = 4404172750794 and 4404172750803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38974980040 + ... + 38974980152.

Almost surely, 2^{4404172750848} is an apocalyptic number.

4404172750848 is a gapful number since it is divisible by the number (48) 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 4404172750848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678204191216).

4404172750848 is an abundant number, since it is smaller than the sum of its proper divisors (10952235631584).

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

4404172750848 is a wasteful number, since it uses less digits than its factorization.

4404172750848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 4404172750848 in words is "four trillion, four hundred four billion, one hundred seventy-two million, seven hundred fifty thousand, eight hundred forty-eight".