16441072704 has 1008 divisors, whose sum is σ = 63601274880. Its totient is φ = 4023613440.

The previous prime is 16441072667. The next prime is 16441072717. The reversal of 16441072704 is 40727014461.

It is a happy number.

16441072704 is a `hidden beast` number, since 1 + 644 + 1 + 0 + 7 + 2 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×16441072704³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 382350507 + ... + 382350549.

Almost surely, 2^16441072704 is an apocalyptic number.

16441072704 is a gapful number since it is divisible by the number (14) 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 16441072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31800637440).

16441072704 is an abundant number, since it is smaller than the sum of its proper divisors (47160202176).

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

16441072704 is a wasteful number, since it uses less digits than its factorization.

16441072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 16441072704 in words is "sixteen billion, four hundred forty-one million, seventy-two thousand, seven hundred four".