16228220400 has 1440 divisors, whose sum is σ = 74953202688. Its totient is φ = 3284582400.

The previous prime is 16228220389. The next prime is 16228220429. The reversal of 16228220400 is 402282261.

It is a happy number.

16228220400 is a `hidden beast` number, since 16 + 2 + 28 + 220 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266036370 + ... + 266036430.

Almost surely, 2^16228220400 is an apocalyptic number.

16228220400 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 16228220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37476601344).

16228220400 is an abundant number, since it is smaller than the sum of its proper divisors (58724982288).

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

16228220400 is a wasteful number, since it uses less digits than its factorization.

16228220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 16228220400 in words is "sixteen billion, two hundred twenty-eight million, two hundred twenty thousand, four hundred".