16004210040 has 1280 divisors, whose sum is σ = 73063710720. Its totient is φ = 3045703680.

The previous prime is 16004210011. The next prime is 16004210041. The reversal of 16004210040 is 4001240061.

16004210040 is a `hidden beast` number, since 1 + 600 + 4 + 21 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×16004210040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16004209995 and 16004210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16004210041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 155380629 + ... + 155380731.

It is an arithmetic number, because the mean of its divisors is an integer number (57081024).

Almost surely, 2^16004210040 is an apocalyptic number.

16004210040 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 16004210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36531855360).

16004210040 is an abundant number, since it is smaller than the sum of its proper divisors (57059500680).

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

16004210040 is a wasteful number, since it uses less digits than its factorization.

16004210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 16004210040 in words is "sixteen billion, four million, two hundred ten thousand, forty".