16491302400 has 480 divisors, whose sum is σ = 57540067200. Its totient is φ = 4157440000.

The previous prime is 16491302363. The next prime is 16491302413. The reversal of 16491302400 is 420319461.

16491302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 65702275 + ... + 65702525.

It is an arithmetic number, because the mean of its divisors is an integer number (119875140).

Almost surely, 2^16491302400 is an apocalyptic number.

16491302400 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 16491302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28770033600).

16491302400 is an abundant number, since it is smaller than the sum of its proper divisors (41048764800).

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

16491302400 is a wasteful number, since it uses less digits than its factorization.

16491302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 16491302400 in words is "sixteen billion, four hundred ninety-one million, three hundred two thousand, four hundred".