15141450240 has 480 divisors, whose sum is σ = 60342137856. Its totient is φ = 3437199360.

The previous prime is 15141450239. The next prime is 15141450241. The reversal of 15141450240 is 4205414151.

15141450240 is a `hidden beast` number, since 1 + 5 + 1 + 414 + 5 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (15141450239) and next prime (15141450241).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (15141450241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35965230 + ... + 35965650.

Almost surely, 2^15141450240 is an apocalyptic number.

15141450240 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 15141450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171068928).

15141450240 is an abundant number, since it is smaller than the sum of its proper divisors (45200687616).

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

15141450240 is a wasteful number, since it uses less digits than its factorization.

15141450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 15141450240 its reverse (4205414151), we get a palindrome (19346864391).

The spelling of 15141450240 in words is "fifteen billion, one hundred forty-one million, four hundred fifty thousand, two hundred forty".