4097117756160 has 1152 divisors, whose sum is σ = 17980279833600. Its totient is φ = 868563025920.

The previous prime is 4097117756153. The next prime is 4097117756189. The reversal of 4097117756160 is 616577117904.

4097117756160 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 1 + 1 + 77 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 4097117756097 and 4097117756106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93877704 + ... + 93921336.

It is an arithmetic number, because the mean of its divisors is an integer number (15607881800).

Almost surely, 2^{4097117756160} is an apocalyptic number.

4097117756160 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 4097117756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990139916800).

4097117756160 is an abundant number, since it is smaller than the sum of its proper divisors (13883162077440).

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

4097117756160 is a wasteful number, since it uses less digits than its factorization.

4097117756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43706 (or 43686 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 4097117756160 in words is "four trillion, ninety-seven billion, one hundred seventeen million, seven hundred fifty-six thousand, one hundred sixty".