16422134400 has 864 divisors, whose sum is σ = 70853590080. Its totient is φ = 3744921600.

The previous prime is 16422134381. The next prime is 16422134423. The reversal of 16422134400 is 443122461.

It is a happy number.

16422134400 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 213 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38102185 + ... + 38102615.

It is an arithmetic number, because the mean of its divisors is an integer number (82006470).

Almost surely, 2^16422134400 is an apocalyptic number.

16422134400 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 16422134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35426795040).

16422134400 is an abundant number, since it is smaller than the sum of its proper divisors (54431455680).

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

16422134400 is an equidigital number, since it uses as much as digits as its factorization.

16422134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 16422134400 its reverse (443122461), we get a palindrome (16865256861).

The spelling of 16422134400 in words is "sixteen billion, four hundred twenty-two million, one hundred thirty-four thousand, four hundred".