16413290910720 has 1584 divisors, whose sum is σ = 66937260009984. Its totient is φ = 3849530572800.

The previous prime is 16413290910703. The next prime is 16413290910721. The reversal of 16413290910720 is 2701909231461.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×16413290910720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16413290910721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4666842402 + ... + 4666845918.

Almost surely, 2^{16413290910720} is an apocalyptic number.

16413290910720 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 16413290910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33468630004992).

16413290910720 is an abundant number, since it is smaller than the sum of its proper divisors (50523969099264).

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

16413290910720 is a wasteful number, since it uses less digits than its factorization.

16413290910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 16413290910720 in words is "sixteen trillion, four hundred thirteen billion, two hundred ninety million, nine hundred ten thousand, seven hundred twenty".