15380490240 has 288 divisors, whose sum is σ = 56447412840. Its totient is φ = 3859808256.

The previous prime is 15380490221. The next prime is 15380490271. The reversal of 15380490240 is 4209408351.

15380490240 is a `hidden beast` number, since 1 + 53 + 80 + 490 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15360132096 + 20358144 = 123936^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 15380490195 and 15380490204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561812 + ... + 1571628.

Almost surely, 2^15380490240 is an apocalyptic number.

15380490240 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 15380490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28223706420).

15380490240 is an abundant number, since it is smaller than the sum of its proper divisors (41066922600).

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

15380490240 is a wasteful number, since it uses less digits than its factorization.

15380490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 15380490240 its reverse (4209408351), we get a palindrome (19589898591).

The spelling of 15380490240 in words is "fifteen billion, three hundred eighty million, four hundred ninety thousand, two hundred forty".