16445734443400 has 96 divisors (see below), whose sum is σ = 38422150423200. Its totient is φ = 6546332620800.

The previous prime is 16445734443353. The next prime is 16445734443431. The reversal of 16445734443400 is 434443754461.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459244696 + ... + 459280504.

It is an arithmetic number, because the mean of its divisors is an integer number (400230733575).

Almost surely, 2^{16445734443400} is an apocalyptic number.

16445734443400 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 16445734443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211075211600).

16445734443400 is an abundant number, since it is smaller than the sum of its proper divisors (21976415979800).

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

16445734443400 is a wasteful number, since it uses less digits than its factorization.

16445734443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46919 (or 46910 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 49.

The spelling of 16445734443400 in words is "sixteen trillion, four hundred forty-five billion, seven hundred thirty-four million, four hundred forty-three thousand, four hundred".