16041611040 has 384 divisors, whose sum is σ = 62477775360. Its totient is φ = 3369074688.

The previous prime is 16041611039. The next prime is 16041611041. The reversal of 16041611040 is 4011614061.

16041611040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16041611039) and next prime (16041611041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16041611040.

It is not an unprimeable number, because it can be changed into a prime (16041611041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11225046 + ... + 11226474.

It is an arithmetic number, because the mean of its divisors is an integer number (162702540).

Almost surely, 2^16041611040 is an apocalyptic number.

16041611040 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 16041611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31238887680).

16041611040 is an abundant number, since it is smaller than the sum of its proper divisors (46436164320).

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

16041611040 is a wasteful number, since it uses less digits than its factorization.

16041611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 16041611040 in words is "sixteen billion, forty-one million, six hundred eleven thousand, forty".