4097884815360 has 960 divisors, whose sum is σ = 16855046208000. Its totient is φ = 935640170496.

The previous prime is 4097884815331. The next prime is 4097884815389. The reversal of 4097884815360 is 635184887904.

4097884815360 is a `hidden beast` number, since 4 + 0 + 97 + 8 + 8 + 4 + 8 + 1 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4097884815331) and next prime (4097884815389).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4097884815360² (a number of 26 digits) contains 22 as substring.

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, 4459068981 + ... + 4459069899.

It is an arithmetic number, because the mean of its divisors is an integer number (17557339800).

Almost surely, 2^{4097884815360} is an apocalyptic number.

4097884815360 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 4097884815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427523104000).

4097884815360 is an abundant number, since it is smaller than the sum of its proper divisors (12757161392640).

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

4097884815360 is an frugal number, since it uses more digits than its factorization.

4097884815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4097884815360 in words is "four trillion, ninety-seven billion, eight hundred eighty-four million, eight hundred fifteen thousand, three hundred sixty".