4361897517120 has 2016 divisors, whose sum is σ = 18770029544448. Its totient is φ = 920125440000.

The previous prime is 4361897517067. The next prime is 4361897517137. The reversal of 4361897517120 is 217157981634.

4361897517120 is a `hidden beast` number, since 4 + 3 + 6 + 18 + 97 + 517 + 1 + 20 = 666.

It is a super-2 number, since 2×4361897517120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6804832000 + ... + 6804832640.

It is an arithmetic number, because the mean of its divisors is an integer number (9310530528).

It is a 1-persistent number, because it is pandigital, but 2⋅4361897517120 = 8723795034240 is not.

Almost surely, 2^{4361897517120} is an apocalyptic number.

4361897517120 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 4361897517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9385014772224).

4361897517120 is an abundant number, since it is smaller than the sum of its proper divisors (14408132027328).

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

4361897517120 is a wasteful number, since it uses less digits than its factorization.

4361897517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 4361897517120 in words is "four trillion, three hundred sixty-one billion, eight hundred ninety-seven million, five hundred seventeen thousand, one hundred twenty".