221073790713840 has 480 divisors, whose sum is σ = 787753431803520. Its totient is φ = 55448130355200.

The previous prime is 221073790713829. The next prime is 221073790713847. The reversal of 221073790713840 is 48317097370122.

221073790713840 is a `hidden beast` number, since 2 + 2 + 107 + 3 + 7 + 90 + 71 + 384 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221073790713847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266350680 + ... + 267179400.

It is an arithmetic number, because the mean of its divisors is an integer number (1641152982924).

Almost surely, 2^{221073790713840} is an apocalyptic number.

221073790713840 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 221073790713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393876715901760).

221073790713840 is an abundant number, since it is smaller than the sum of its proper divisors (566679641089680).

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

221073790713840 is a wasteful number, since it uses less digits than its factorization.

221073790713840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829033 (or 829024 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 221073790713840 in words is "two hundred twenty-one trillion, seventy-three billion, seven hundred ninety million, seven hundred thirteen thousand, eight hundred forty".