227721443040 has 864 divisors, whose sum is σ = 997504574976. Its totient is φ = 48037017600.

The previous prime is 227721443023. The next prime is 227721443063. The reversal of 227721443040 is 40344127722.

227721443040 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 214 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 227721442986 and 227721443004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45992565 + ... + 45997515.

It is an arithmetic number, because the mean of its divisors is an integer number (1154519184).

Almost surely, 2^227721443040 is an apocalyptic number.

227721443040 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 227721443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498752287488).

227721443040 is an abundant number, since it is smaller than the sum of its proper divisors (769783131936).

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

227721443040 is a wasteful number, since it uses less digits than its factorization.

227721443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

It can be divided in two parts, 227721 and 443040, that added together give a square (670761 = 819²).

The spelling of 227721443040 in words is "two hundred twenty-seven billion, seven hundred twenty-one million, four hundred forty-three thousand, forty".