4479561446400 has 528 divisors, whose sum is σ = 16499875924480. Its totient is φ = 1190943129600.

The previous prime is 4479561446357. The next prime is 4479561446401. The reversal of 4479561446400 is 46441659744.

4479561446400 is a `hidden beast` number, since 4 + 4 + 7 + 95 + 6 + 144 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4479561446401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 232924785 + ... + 232944015.

Almost surely, 2^{4479561446400} is an apocalyptic number.

4479561446400 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 4479561446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249937962240).

4479561446400 is an abundant number, since it is smaller than the sum of its proper divisors (12020314478080).

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

4479561446400 is a wasteful number, since it uses less digits than its factorization.

4479561446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19607 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4479561446400 in words is "four trillion, four hundred seventy-nine billion, five hundred sixty-one million, four hundred forty-six thousand, four hundred".