16842741350400 has 3072 divisors, whose sum is σ = 76764658176000. Its totient is φ = 3577447710720.

The previous prime is 16842741350377. The next prime is 16842741350423. The reversal of 16842741350400 is 405314724861.

16842741350400 is a `hidden beast` number, since 1 + 6 + 8 + 42 + 74 + 135 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (16842741350377) and next prime (16842741350423).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×16842741350400³ (a number of 41 digits) contains 333 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213199257561 + ... + 213199257639.

It is an arithmetic number, because the mean of its divisors is an integer number (24988495500).

Almost surely, 2^{16842741350400} is an apocalyptic number.

16842741350400 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 16842741350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38382329088000).

16842741350400 is an abundant number, since it is smaller than the sum of its proper divisors (59921916825600).

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

16842741350400 is an frugal number, since it uses more digits than its factorization.

16842741350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16842741350400 in words is "sixteen trillion, eight hundred forty-two billion, seven hundred forty-one million, three hundred fifty thousand, four hundred".