15240020400000 has 1920 divisors, whose sum is σ = 62945956513440. Its totient is φ = 3628800000000.

The previous prime is 15240020399971. The next prime is 15240020400023. The reversal of 15240020400000 is 402004251.

15240020400000 is a `hidden beast` number, since 1 + 5 + 240 + 0 + 20 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 21740399650 + ... + 21740400350.

Almost surely, 2^{15240020400000} is an apocalyptic number.

15240020400000 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 15240020400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31472978256720).

15240020400000 is an abundant number, since it is smaller than the sum of its proper divisors (47705936113440).

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

15240020400000 is an frugal number, since it uses more digits than its factorization.

15240020400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 15240020400000 its reverse (402004251), we get a palindrome (15240422404251).

The spelling of 15240020400000 in words is "fifteen trillion, two hundred forty billion, twenty million, four hundred thousand".