16366442400 has 864 divisors, whose sum is σ = 73442049408. Its totient is φ = 3330662400.

The previous prime is 16366442387. The next prime is 16366442423. The reversal of 16366442400 is 424466361.

16366442400 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 644 + 2 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 29382922 + ... + 29383478.

It is an arithmetic number, because the mean of its divisors is an integer number (85002372).

Almost surely, 2^16366442400 is an apocalyptic number.

16366442400 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 16366442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36721024704).

16366442400 is an abundant number, since it is smaller than the sum of its proper divisors (57075607008).

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

16366442400 is a wasteful number, since it uses less digits than its factorization.

16366442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 16366442400 in words is "sixteen billion, three hundred sixty-six million, four hundred forty-two thousand, four hundred".