221449669525440 has 336 divisors, whose sum is σ = 780664062971520. Its totient is φ = 57584011100160.

The previous prime is 221449669525423. The next prime is 221449669525463. The reversal of 221449669525440 is 44525966944122.

221449669525440 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 9 + 6 + 69 + 525 + 4 + 40 = 666.

It is a super-2 number, since 2×221449669525440² (a number of 29 digits) contains 22 as substring.

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, 235336201 + ... + 236275319.

It is an arithmetic number, because the mean of its divisors is an integer number (2323404949320).

Almost surely, 2^{221449669525440} is an apocalyptic number.

221449669525440 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 221449669525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390332031485760).

221449669525440 is an abundant number, since it is smaller than the sum of its proper divisors (559214393446080).

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

221449669525440 is a wasteful number, since it uses less digits than its factorization.

221449669525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941180 (or 941167 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 221449669525440 in words is "two hundred twenty-one trillion, four hundred forty-nine billion, six hundred sixty-nine million, five hundred twenty-five thousand, four hundred forty".