15338233405440 has 1344 divisors, whose sum is σ = 62776695002112. Its totient is φ = 3556107878400.

The previous prime is 15338233405403. The next prime is 15338233405459. The reversal of 15338233405440 is 4450433283351.

It is a happy number.

15338233405440 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 8 + 233 + 405 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×15338233405440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2518176795 + ... + 2518182885.

It is an arithmetic number, because the mean of its divisors is an integer number (46708850448).

Almost surely, 2^{15338233405440} is an apocalyptic number.

15338233405440 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 15338233405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31388347501056).

15338233405440 is an abundant number, since it is smaller than the sum of its proper divisors (47438461596672).

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

15338233405440 is an equidigital number, since it uses as much as digits as its factorization.

15338233405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 15338233405440 its reverse (4450433283351), we get a palindrome (19788666688791).

The spelling of 15338233405440 in words is "fifteen trillion, three hundred thirty-eight billion, two hundred thirty-three million, four hundred five thousand, four hundred forty".