16022784470400 has 288 divisors, whose sum is σ = 57739046339520. Its totient is φ = 4230437376000.

The previous prime is 16022784470393. The next prime is 16022784470467. The reversal of 16022784470400 is 407448722061.

16022784470400 is a `hidden beast` number, since 1 + 60 + 2 + 2 + 7 + 84 + 470 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154609 + ... + 5662991.

It is an arithmetic number, because the mean of its divisors is an integer number (200482799790).

Almost surely, 2^{16022784470400} is an apocalyptic number.

16022784470400 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 16022784470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28869523169760).

16022784470400 is an abundant number, since it is smaller than the sum of its proper divisors (41716261869120).

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

16022784470400 is a wasteful number, since it uses less digits than its factorization.

16022784470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508514 (or 5508494 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 16022784470400 in words is "sixteen trillion, twenty-two billion, seven hundred eighty-four million, four hundred seventy thousand, four hundred".