15042424320 has 960 divisors, whose sum is σ = 66490744320. Its totient is φ = 3052339200.

The previous prime is 15042424289. The next prime is 15042424343. The reversal of 15042424320 is 2342424051.

15042424320 is a `hidden beast` number, since 150 + 42 + 42 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108218811 + ... + 108218949.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^15042424320 is an apocalyptic number.

15042424320 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 15042424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33245372160).

15042424320 is an abundant number, since it is smaller than the sum of its proper divisors (51448320000).

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

15042424320 is a wasteful number, since it uses less digits than its factorization.

15042424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 15042424320 its reverse (2342424051), we get a palindrome (17384848371).

The spelling of 15042424320 in words is "fifteen billion, forty-two million, four hundred twenty-four thousand, three hundred twenty".