15338125440 has 1024 divisors, whose sum is σ = 64862208000. Its totient is φ = 3384115200.

The previous prime is 15338125367. The next prime is 15338125463. The reversal of 15338125440 is 4452183351.

15338125440 is a `hidden beast` number, since 1 + 5 + 33 + 81 + 2 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15338125395 and 15338125404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111957052 + ... + 111957188.

It is an arithmetic number, because the mean of its divisors is an integer number (63342000).

Almost surely, 2^15338125440 is an apocalyptic number.

15338125440 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 15338125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32431104000).

15338125440 is an abundant number, since it is smaller than the sum of its proper divisors (49524082560).

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

15338125440 is a wasteful number, since it uses less digits than its factorization.

15338125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15338125440 in words is "fifteen billion, three hundred thirty-eight million, one hundred twenty-five thousand, four hundred forty".