2173321041408 has 800 divisors, whose sum is σ = 7347790568448. Its totient is φ = 633592627200.

The previous prime is 2173321041403. The next prime is 2173321041461. The reversal of 2173321041408 is 8041401233712.

2173321041408 is a `hidden beast` number, since 2 + 1 + 7 + 33 + 210 + 4 + 1 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173321041403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3210222766 + ... + 3210223442.

Almost surely, 2^{2173321041408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2173321041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673895284224).

2173321041408 is an abundant number, since it is smaller than the sum of its proper divisors (5174469527040).

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

2173321041408 is a wasteful number, since it uses less digits than its factorization.

2173321041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2173321041408 in words is "two trillion, one hundred seventy-three billion, three hundred twenty-one million, forty-one thousand, four hundred eight".