221554045440 has 960 divisors, whose sum is σ = 950388671232. Its totient is φ = 46448640000.

The previous prime is 221554045403. The next prime is 221554045469. The reversal of 221554045440 is 44540455122.

221554045440 is a `hidden beast` number, since 2 + 21 + 5 + 540 + 4 + 54 + 40 = 666.

221554045440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 221554045395 and 221554045404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526256430 + ... + 526256850.

Almost surely, 2^221554045440 is an apocalyptic number.

221554045440 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 221554045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475194335616).

221554045440 is an abundant number, since it is smaller than the sum of its proper divisors (728834625792).

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

221554045440 is a wasteful number, since it uses less digits than its factorization.

221554045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 221554045440 in words is "two hundred twenty-one billion, five hundred fifty-four million, forty-five thousand, four hundred forty".