16356615440 has 120 divisors (see below), whose sum is σ = 42821181144. Its totient is φ = 5802649600.

The previous prime is 16356615427. The next prime is 16356615449. The reversal of 16356615440 is 4451665361.

16356615440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2750792704 + 13605822736 = 52448^2 + 116644^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (16356615449) 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 23 ways as a sum of consecutive naturals, for example, 376274 + ... + 417486.

Almost surely, 2^16356615440 is an apocalyptic number.

16356615440 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 16356615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410590572).

16356615440 is an abundant number, since it is smaller than the sum of its proper divisors (26464565704).

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

16356615440 is a wasteful number, since it uses less digits than its factorization.

16356615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41289 (or 41272 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 16356615440 in words is "sixteen billion, three hundred fifty-six million, six hundred fifteen thousand, four hundred forty".