16084058040 has 96 divisors (see below), whose sum is σ = 52325582400. Its totient is φ = 4284783360.

The previous prime is 16084057943. The next prime is 16084058051. The reversal of 16084058040 is 4085048061.

16084058040 is a `hidden beast` number, since 1 + 608 + 4 + 0 + 5 + 8 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16084057986 and 16084058004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345681 + ... + 389439.

It is an arithmetic number, because the mean of its divisors is an integer number (545058150).

Almost surely, 2^16084058040 is an apocalyptic number.

16084058040 is a gapful number since it is divisible by the number (10) 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 16084058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26162791200).

16084058040 is an abundant number, since it is smaller than the sum of its proper divisors (36241524360).

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

16084058040 is a wasteful number, since it uses less digits than its factorization.

16084058040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44797 (or 44790 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 16084058040 in words is "sixteen billion, eighty-four million, fifty-eight thousand, forty".