4461191280 has 720 divisors, whose sum is σ = 19172147904. Its totient is φ = 921231360.

The previous prime is 4461191243. The next prime is 4461191281. The reversal of 4461191280 is 821911644.

4461191280 is a `hidden beast` number, since 4 + 461 + 191 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461191281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32563372 + ... + 32563508.

Almost surely, 2^4461191280 is an apocalyptic number.

4461191280 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 4461191280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586073952).

4461191280 is an abundant number, since it is smaller than the sum of its proper divisors (14710956624).

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

4461191280 is a wasteful number, since it uses less digits than its factorization.

4461191280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4461191280 is about 66792.1498381359. The cubic root of 4461191280 is about 1646.2038569612.

The spelling of 4461191280 in words is "four billion, four hundred sixty-one million, one hundred ninety-one thousand, two hundred eighty".