16006721040 has 240 divisors, whose sum is σ = 57547316736. Its totient is φ = 4130611200.

The previous prime is 16006720999. The next prime is 16006721069. The reversal of 16006721040 is 4012760061.

16006721040 is a `hidden beast` number, since 1 + 600 + 6 + 7 + 2 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 16006720995 and 16006721013.

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, 589360 + ... + 615920.

Almost surely, 2^16006721040 is an apocalyptic number.

16006721040 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 16006721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28773658368).

16006721040 is an abundant number, since it is smaller than the sum of its proper divisors (41540595696).

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

16006721040 is a wasteful number, since it uses less digits than its factorization.

16006721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26620 (or 26602 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 16006721040 in words is "sixteen billion, six million, seven hundred twenty-one thousand, forty".