115820221440 has 352 divisors, whose sum is σ = 461856651264. Its totient is φ = 24066293760.

The previous prime is 115820221427. The next prime is 115820221463. The reversal of 115820221440 is 44122028511.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115820221398 and 115820221407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133757 + ... + 1231683.

Almost surely, 2^115820221440 is an apocalyptic number.

115820221440 is a gapful number since it is divisible by the number (10) 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 115820221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230928325632).

115820221440 is an abundant number, since it is smaller than the sum of its proper divisors (346036429824).

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

115820221440 is a wasteful number, since it uses less digits than its factorization.

115820221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97973 (or 97955 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 115820221440 its reverse (44122028511), we get a palindrome (159942249951).

The spelling of 115820221440 in words is "one hundred fifteen billion, eight hundred twenty million, two hundred twenty-one thousand, four hundred forty".