2171955822400 has 504 divisors, whose sum is σ = 7002978120000. Its totient is φ = 646944030720.

The previous prime is 2171955822341. The next prime is 2171955822401. The reversal of 2171955822400 is 42285591712.

It is a super-4 number, since 4×2171955822400⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171955822401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32143851 + ... + 32211349.

Almost surely, 2^{2171955822400} is an apocalyptic number.

2171955822400 is a gapful number since it is divisible by the number (20) 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 2171955822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501489060000).

2171955822400 is an abundant number, since it is smaller than the sum of its proper divisors (4831022297600).

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

2171955822400 is a wasteful number, since it uses less digits than its factorization.

2171955822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67571 (or 67543 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 2171955822400 in words is "two trillion, one hundred seventy-one billion, nine hundred fifty-five million, eight hundred twenty-two thousand, four hundred".