15142041200 has 240 divisors, whose sum is σ = 43178298912. Its totient is φ = 5030400000.

The previous prime is 15142041193. The next prime is 15142041247. The reversal of 15142041200 is 214024151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5775890 + ... + 5778510.

Almost surely, 2^15142041200 is an apocalyptic number.

15142041200 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 15142041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21589149456).

15142041200 is an abundant number, since it is smaller than the sum of its proper divisors (28036257712).

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

15142041200 is a wasteful number, since it uses less digits than its factorization.

15142041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 15142041200 its reverse (214024151), we get a palindrome (15356065351).

The spelling of 15142041200 in words is "fifteen billion, one hundred forty-two million, forty-one thousand, two hundred".