4097900160 has 320 divisors, whose sum is σ = 14766709320. Its totient is φ = 1082916864.

The previous prime is 4097900143. The next prime is 4097900161. The reversal of 4097900160 is 610097904.

4097900160 is a `hidden beast` number, since 409 + 7 + 90 + 0 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4078610496 + 19289664 = 63864^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4097900161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7101792 + ... + 7102368.

Almost surely, 2^4097900160 is an apocalyptic number.

4097900160 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 4097900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383354660).

4097900160 is an abundant number, since it is smaller than the sum of its proper divisors (10668809160).

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

4097900160 is a wasteful number, since it uses less digits than its factorization.

4097900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4097900160 is about 64014.8432787272. The cubic root of 4097900160 is about 1600.2473784171.

The spelling of 4097900160 in words is "four billion, ninety-seven million, nine hundred thousand, one hundred sixty".