15352151440 has 80 divisors (see below), whose sum is σ = 36893138688. Its totient is φ = 5937671168.

The previous prime is 15352151431. The next prime is 15352151509. The reversal of 15352151440 is 4415125351.

15352151440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 287484 + ... + 336676.

Almost surely, 2^15352151440 is an apocalyptic number.

15352151440 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 15352151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446569344).

15352151440 is an abundant number, since it is smaller than the sum of its proper divisors (21540987248).

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

15352151440 is a wasteful number, since it uses less digits than its factorization.

15352151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49336 (or 49330 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 15352151440 its reverse (4415125351), we get a palindrome (19767276791).

The spelling of 15352151440 in words is "fifteen billion, three hundred fifty-two million, one hundred fifty-one thousand, four hundred forty".