16411265165400 has 384 divisors, whose sum is σ = 59071959866880. Its totient is φ = 3691315077120.

The previous prime is 16411265165369. The next prime is 16411265165417. The reversal of 16411265165400 is 456156211461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274897954 + ... + 274957646.

It is an arithmetic number, because the mean of its divisors is an integer number (153833228820).

Almost surely, 2^{16411265165400} is an apocalyptic number.

16411265165400 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 16411265165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29535979933440).

16411265165400 is an abundant number, since it is smaller than the sum of its proper divisors (42660694701480).

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

16411265165400 is a wasteful number, since it uses less digits than its factorization.

16411265165400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60763 (or 60754 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 16411265165400 in words is "sixteen trillion, four hundred eleven billion, two hundred sixty-five million, one hundred sixty-five thousand, four hundred".