16434941783040 has 1584 divisors, whose sum is σ = 65442316193280. Its totient is φ = 3926807838720.

The previous prime is 16434941783033. The next prime is 16434941783041. The reversal of 16434941783040 is 4038714943461.

16434941783040 is a `hidden beast` number, since 1 + 6 + 43 + 494 + 1 + 78 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×16434941783040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16434941783041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29191725799 + ... + 29191726361.

Almost surely, 2^{16434941783040} is an apocalyptic number.

16434941783040 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 16434941783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32721158096640).

16434941783040 is an abundant number, since it is smaller than the sum of its proper divisors (49007374410240).

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

16434941783040 is an frugal number, since it uses more digits than its factorization.

16434941783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 16434941783040 in words is "sixteen trillion, four hundred thirty-four billion, nine hundred forty-one million, seven hundred eighty-three thousand, forty".