16641002400 has 432 divisors, whose sum is σ = 60440694048. Its totient is φ = 3943680000.

The previous prime is 16641002393. The next prime is 16641002419. The reversal of 16641002400 is 420014661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164762350 + ... + 164762450.

It is an arithmetic number, because the mean of its divisors is an integer number (139909014).

Almost surely, 2^16641002400 is an apocalyptic number.

16641002400 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 16641002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30220347024).

16641002400 is an abundant number, since it is smaller than the sum of its proper divisors (43799691648).

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

16641002400 is a wasteful number, since it uses less digits than its factorization.

16641002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 16641002400 in words is "sixteen billion, six hundred forty-one million, two thousand, four hundred".