16400437450560 has 448 divisors, whose sum is σ = 58705050585600. Its totient is φ = 4309466333184.

The previous prime is 16400437450559. The next prime is 16400437450603. The reversal of 16400437450560 is 6505473400461.

16400437450560 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 4 + 37 + 4 + 50 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699456757 + ... + 699480203.

Almost surely, 2^{16400437450560} is an apocalyptic number.

16400437450560 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 16400437450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352525292800).

16400437450560 is an abundant number, since it is smaller than the sum of its proper divisors (42304613135040).

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

16400437450560 is a wasteful number, since it uses less digits than its factorization.

16400437450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24655 (or 24639 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 16400437450560 in words is "sixteen trillion, four hundred billion, four hundred thirty-seven million, four hundred fifty thousand, five hundred sixty".