15153413440 has 112 divisors (see below), whose sum is σ = 39863450880. Its totient is φ = 5440481280.

The previous prime is 15153413423. The next prime is 15153413441. The reversal of 15153413440 is 4431435151.

15153413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15153413441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 250834 + ... + 305326.

Almost surely, 2^15153413440 is an apocalyptic number.

15153413440 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 15153413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931725440).

15153413440 is an abundant number, since it is smaller than the sum of its proper divisors (24710037440).

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

15153413440 is a wasteful number, since it uses less digits than its factorization.

15153413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54600 (or 54590 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 15153413440 its reverse (4431435151), we get a palindrome (19584848591).

The spelling of 15153413440 in words is "fifteen billion, one hundred fifty-three million, four hundred thirteen thousand, four hundred forty".