221918027240000 has 2240 divisors, whose sum is σ = 749558310961152. Its totient is φ = 63228211200000.

The previous prime is 221918027239973. The next prime is 221918027240029. The reversal of 221918027240000 is 42720819122.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×221918027240000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 96026838845 + ... + 96026841155.

Almost surely, 2^{221918027240000} is an apocalyptic number.

221918027240000 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 221918027240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374779155480576).

221918027240000 is an abundant number, since it is smaller than the sum of its proper divisors (527640283721152).

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

221918027240000 is a wasteful number, since it uses less digits than its factorization.

221918027240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 221918027240000 in words is "two hundred twenty-one trillion, nine hundred eighteen billion, twenty-seven million, two hundred forty thousand".