221301431241440 has 48 divisors (see below), whose sum is σ = 570354143249520. Its totient is φ = 80473247723520.

The previous prime is 221301431241391. The next prime is 221301431241479. The reversal of 221301431241440 is 44142134103122.

It is a super-3 number, since 3×221301431241440³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 221301431241397 and 221301431241406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62869723025 + ... + 62869726544.

It is an arithmetic number, because the mean of its divisors is an integer number (11882377984365).

Almost surely, 2^{221301431241440} is an apocalyptic number.

221301431241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221301431241440 is an abundant number, since it is smaller than the sum of its proper divisors (349052712008080).

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

221301431241440 is a wasteful number, since it uses less digits than its factorization.

221301431241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125739449595 (or 125739449587 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 221301431241440 its reverse (44142134103122), we get a palindrome (265443565344562).

The spelling of 221301431241440 in words is "two hundred twenty-one trillion, three hundred one billion, four hundred thirty-one million, two hundred forty-one thousand, four hundred forty".