15352401440 has 96 divisors (see below), whose sum is σ = 36874341504. Its totient is φ = 6038968320.

The previous prime is 15352401431. The next prime is 15352401457. The reversal of 15352401440 is 4410425351.

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 15 ways as a sum of consecutive naturals, for example, 10365500 + ... + 10366980.

It is an arithmetic number, because the mean of its divisors is an integer number (384107724).

Almost surely, 2^15352401440 is an apocalyptic number.

15352401440 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 15352401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437170752).

15352401440 is an abundant number, since it is smaller than the sum of its proper divisors (21521940064).

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

15352401440 is a wasteful number, since it uses less digits than its factorization.

15352401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 15352401440 its reverse (4410425351), we get a palindrome (19762826791).

The spelling of 15352401440 in words is "fifteen billion, three hundred fifty-two million, four hundred one thousand, four hundred forty".