4397417725680 has 240 divisors, whose sum is σ = 16932690238464. Its totient is φ = 1001849679360.

The previous prime is 4397417725639. The next prime is 4397417725693. The reversal of 4397417725680 is 865277147934.

4397417725680 is a `hidden beast` number, since 4 + 3 + 97 + 417 + 7 + 2 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126265 + ... + 2968295.

It is a 1-persistent number, because it is pandigital, but 2⋅4397417725680 = 8794835451360 is not.

Almost surely, 2^{4397417725680} is an apocalyptic number.

4397417725680 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 4397417725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466345119232).

4397417725680 is an abundant number, since it is smaller than the sum of its proper divisors (12535272512784).

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

4397417725680 is a wasteful number, since it uses less digits than its factorization.

4397417725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842364 (or 2842355 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 4397417725680 in words is "four trillion, three hundred ninety-seven billion, four hundred seventeen million, seven hundred twenty-five thousand, six hundred eighty".