4106618880 has 576 divisors, whose sum is σ = 16402538880. Its totient is φ = 858783744.

The previous prime is 4106618837. The next prime is 4106618891. The reversal of 4106618880 is 888166014.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36341704 + ... + 36341816.

It is an arithmetic number, because the mean of its divisors is an integer number (28476630).

Almost surely, 2^4106618880 is an apocalyptic number.

4106618880 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 4106618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201269440).

4106618880 is an abundant number, since it is smaller than the sum of its proper divisors (12295920000).

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

4106618880 is a wasteful number, since it uses less digits than its factorization.

4106618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 4106618880 is about 64082.9063011346. The cubic root of 4106618880 is about 1601.3814735302.

The spelling of 4106618880 in words is "four billion, one hundred six million, six hundred eighteen thousand, eight hundred eighty".