1315442503200 has 1152 divisors, whose sum is σ = 5122112163840. Its totient is φ = 287078400000.

The previous prime is 1315442503181. The next prime is 1315442503229. The reversal of 1315442503200 is 23052445131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7348840711 + ... + 7348840889.

It is an arithmetic number, because the mean of its divisors is an integer number (4446277920).

Almost surely, 2^{1315442503200} is an apocalyptic number.

1315442503200 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 1315442503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561056081920).

1315442503200 is an abundant number, since it is smaller than the sum of its proper divisors (3806669660640).

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

1315442503200 is a wasteful number, since it uses less digits than its factorization.

1315442503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1315442503200 its reverse (23052445131), we get a palindrome (1338494948331).

The spelling of 1315442503200 in words is "one trillion, three hundred fifteen billion, four hundred forty-two million, five hundred three thousand, two hundred".