16671233527040 has 144 divisors (see below), whose sum is σ = 41730883907328. Its totient is φ = 6374827941888.

The previous prime is 16671233526977. The next prime is 16671233527043. The reversal of 16671233527040 is 4072533217661.

It is a happy number.

It is a super-2 number, since 2×16671233527040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16671233527043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635387 + ... + 5809146.

It is an arithmetic number, because the mean of its divisors is an integer number (289797804912).

Almost surely, 2^{16671233527040} is an apocalyptic number.

16671233527040 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 16671233527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865441953664).

16671233527040 is an abundant number, since it is smaller than the sum of its proper divisors (25059650380288).

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

16671233527040 is an equidigital number, since it uses as much as digits as its factorization.

16671233527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444644 (or 6444630 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 16671233527040 in words is "sixteen trillion, six hundred seventy-one billion, two hundred thirty-three million, five hundred twenty-seven thousand, forty".