13416163740 has 360 divisors, whose sum is σ = 48816724320. Its totient is φ = 2980115712.

The previous prime is 13416163729. The next prime is 13416163753. The reversal of 13416163740 is 4736161431.

13416163740 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 616 + 37 + 4 + 0 = 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 = 13416163695 and 13416163704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15990241 + ... + 15991079.

It is an arithmetic number, because the mean of its divisors is an integer number (135602012).

Almost surely, 2^13416163740 is an apocalyptic number.

13416163740 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 13416163740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408362160).

13416163740 is an abundant number, since it is smaller than the sum of its proper divisors (35400560580).

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

13416163740 is a wasteful number, since it uses less digits than its factorization.

13416163740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13416163740 in words is "thirteen billion, four hundred sixteen million, one hundred sixty-three thousand, seven hundred forty".