4106553984 has 384 divisors, whose sum is σ = 13439520000. Its totient is φ = 1233543168.

The previous prime is 4106553937. The next prime is 4106553989. The reversal of 4106553984 is 4893556014.

4106553984 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 553 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4106553989) 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, 46141012 + ... + 46141100.

It is an arithmetic number, because the mean of its divisors is an integer number (34998750).

Almost surely, 2^4106553984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719760000).

4106553984 is an abundant number, since it is smaller than the sum of its proper divisors (9332966016).

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

4106553984 is a wasteful number, since it uses less digits than its factorization.

4106553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4106553984 is about 64082.3999550579. The cubic root of 4106553984 is about 1601.3730380587.

The spelling of 4106553984 in words is "four billion, one hundred six million, five hundred fifty-three thousand, nine hundred eighty-four".