4115897280 has 672 divisors, whose sum is σ = 16604528640. Its totient is φ = 958003200.

The previous prime is 4115897257. The next prime is 4115897321. The reversal of 4115897280 is 827985114.

4115897280 is a `hidden beast` number, since 41 + 1 + 589 + 7 + 28 + 0 = 666.

It is a super-2 number, since 2×4115897280² = 33881220839022796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32408577 + ... + 32408703.

It is an arithmetic number, because the mean of its divisors is an integer number (24709120).

Almost surely, 2^4115897280 is an apocalyptic number.

4115897280 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 4115897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302264320).

4115897280 is an abundant number, since it is smaller than the sum of its proper divisors (12488631360).

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

4115897280 is a wasteful number, since it uses less digits than its factorization.

4115897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4115897280 is about 64155.2591764697. The cubic root of 4115897280 is about 1602.5866078258.

The spelling of 4115897280 in words is "four billion, one hundred fifteen million, eight hundred ninety-seven thousand, two hundred eighty".