221527300217040 has 240 divisors, whose sum is σ = 747559777326336. Its totient is φ = 58788805708800.

The previous prime is 221527300216997. The next prime is 221527300217071. The reversal of 221527300217040 is 40712003725122.

221527300217040 is a `hidden beast` number, since 2 + 2 + 1 + 527 + 3 + 0 + 0 + 21 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×221527300217040² (a number of 29 digits) contains 22 as substring.

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 = 221527300216986 and 221527300217004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170472955 + ... + 171767525.

Almost surely, 2^{221527300217040} is an apocalyptic number.

221527300217040 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 221527300217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373779888663168).

221527300217040 is an abundant number, since it is smaller than the sum of its proper divisors (526032477109296).

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

221527300217040 is a wasteful number, since it uses less digits than its factorization.

221527300217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295738 (or 1295729 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 221527300217040 in words is "two hundred twenty-one trillion, five hundred twenty-seven billion, three hundred million, two hundred seventeen thousand, forty".