16741420001280 has 1536 divisors, whose sum is σ = 68153610470400. Its totient is φ = 3861695692800.

The previous prime is 16741420001261. The next prime is 16741420001287. The reversal of 16741420001280 is 8210002414761.

It is a happy number.

16741420001280 is a `hidden beast` number, since 16 + 7 + 414 + 200 + 0 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (16741420001287) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19002746440 + ... + 19002747320.

It is an arithmetic number, because the mean of its divisors is an integer number (44370840150).

Almost surely, 2^{16741420001280} is an apocalyptic number.

16741420001280 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 16741420001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34076805235200).

16741420001280 is an abundant number, since it is smaller than the sum of its proper divisors (51412190469120).

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

16741420001280 is a wasteful number, since it uses less digits than its factorization.

16741420001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 16741420001280 in words is "sixteen trillion, seven hundred forty-one billion, four hundred twenty million, one thousand, two hundred eighty".