4405611960 has 192 divisors, whose sum is σ = 14658134400. Its totient is φ = 1147281408.

The previous prime is 4405611943. The next prime is 4405611961. The reversal of 4405611960 is 691165044.

4405611960 is a `hidden beast` number, since 4 + 4 + 0 + 561 + 1 + 96 + 0 = 666.

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 (4405611961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2757882 + ... + 2759478.

It is an arithmetic number, because the mean of its divisors is an integer number (76344450).

Almost surely, 2^4405611960 is an apocalyptic number.

4405611960 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 4405611960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329067200).

4405611960 is an abundant number, since it is smaller than the sum of its proper divisors (10252522440).

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

4405611960 is a wasteful number, since it uses less digits than its factorization.

4405611960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4405611960 is about 66374.7840674454. The cubic root of 4405611960 is about 1639.3389116179.

The spelling of 4405611960 in words is "four billion, four hundred five million, six hundred eleven thousand, nine hundred sixty".