221511000150440 has 512 divisors, whose sum is σ = 671958520934400. Its totient is φ = 63467219312640.

The previous prime is 221511000150389. The next prime is 221511000150449. The reversal of 221511000150440 is 44051000115122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (221511000150449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14074012091 + ... + 14074027829.

It is an arithmetic number, because the mean of its divisors is an integer number (1312418986200).

Almost surely, 2^{221511000150440} is an apocalyptic number.

221511000150440 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 221511000150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335979260467200).

221511000150440 is an abundant number, since it is smaller than the sum of its proper divisors (450447520783960).

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

221511000150440 is a wasteful number, since it uses less digits than its factorization.

221511000150440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 221511000150440 its reverse (44051000115122), we get a palindrome (265562000265562).

The spelling of 221511000150440 in words is "two hundred twenty-one trillion, five hundred eleven billion, one hundred fifty thousand, four hundred forty".