221140545002400 has 288 divisors, whose sum is σ = 726011179185600. Its totient is φ = 58464655441920.

The previous prime is 221140545002393. The next prime is 221140545002417. The reversal of 221140545002400 is 4200545041122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168529647 + ... + 169836753.

It is an arithmetic number, because the mean of its divisors is an integer number (2520872149950).

Almost surely, 2^{221140545002400} is an apocalyptic number.

221140545002400 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 221140545002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363005589592800).

221140545002400 is an abundant number, since it is smaller than the sum of its proper divisors (504870634183200).

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

221140545002400 is a wasteful number, since it uses less digits than its factorization.

221140545002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307736 (or 1307723 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 221140545002400 in words is "two hundred twenty-one trillion, one hundred forty billion, five hundred forty-five million, two thousand, four hundred".