16409230160400 has 1800 divisors, whose sum is σ = 75001862684672. Its totient is φ = 3362591232000.

The previous prime is 16409230160353. The next prime is 16409230160419. The reversal of 16409230160400 is 406103290461.

16409230160400 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 230 + 16 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2003320305 + ... + 2003328495.

Almost surely, 2^{16409230160400} is an apocalyptic number.

16409230160400 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 16409230160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37500931342336).

16409230160400 is an abundant number, since it is smaller than the sum of its proper divisors (58592632524272).

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

16409230160400 is a wasteful number, since it uses less digits than its factorization.

16409230160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16409230160400 in words is "sixteen trillion, four hundred nine billion, two hundred thirty million, one hundred sixty thousand, four hundred".