16436013834240 has 4480 divisors, whose sum is σ = 81526631155200. Its totient is φ = 3121348608000.

The previous prime is 16436013834223. The next prime is 16436013834259. The reversal of 16436013834240 is 4243831063461.

16436013834240 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 601 + 3 + 8 + 34 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 162732810190 + ... + 162732810290.

It is an arithmetic number, because the mean of its divisors is an integer number (18197908740).

Almost surely, 2^{16436013834240} is an apocalyptic number.

16436013834240 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 16436013834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40763315577600).

16436013834240 is an abundant number, since it is smaller than the sum of its proper divisors (65090617320960).

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

16436013834240 is a wasteful number, since it uses less digits than its factorization.

16436013834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 16436013834240 in words is "sixteen trillion, four hundred thirty-six billion, thirteen million, eight hundred thirty-four thousand, two hundred forty".