4016605320 has 768 divisors, whose sum is σ = 17611776000. Its totient is φ = 799497216.

The previous prime is 4016605291. The next prime is 4016605399. The reversal of 4016605320 is 235066104.

4016605320 is a `hidden beast` number, since 40 + 16 + 605 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×4016605320² = 32266236593304604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16805761 + ... + 16805999.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 2^4016605320 is an apocalyptic number.

4016605320 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 4016605320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888000).

4016605320 is an abundant number, since it is smaller than the sum of its proper divisors (13595170680).

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

4016605320 is a wasteful number, since it uses less digits than its factorization.

4016605320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4016605320 is about 63376.6938235184. The cubic root of 4016605320 is about 1589.5946278798.

The spelling of 4016605320 in words is "four billion, sixteen million, six hundred five thousand, three hundred twenty".