4411964160 has 288 divisors, whose sum is σ = 16482816000. Its totient is φ = 1114435584.

The previous prime is 4411964153. The next prime is 4411964173. The reversal of 4411964160 is 614691144.

4411964160 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 9 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653281 + ... + 659999.

It is an arithmetic number, because the mean of its divisors is an integer number (57232000).

Almost surely, 2^4411964160 is an apocalyptic number.

4411964160 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 4411964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408000).

4411964160 is an abundant number, since it is smaller than the sum of its proper divisors (12070851840).

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

4411964160 is a wasteful number, since it uses less digits than its factorization.

4411964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4411964160 is about 66422.6178345900. The cubic root of 4411964160 is about 1640.1264229331.

The spelling of 4411964160 in words is "four billion, four hundred eleven million, nine hundred sixty-four thousand, one hundred sixty".