1315005424000 has 256 divisors, whose sum is σ = 3296419027200. Its totient is φ = 521681510400.

The previous prime is 1315005423989. The next prime is 1315005424001. The reversal of 1315005424000 is 4245005131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315005424001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192207449 + ... + 1192208551.

It is an arithmetic number, because the mean of its divisors is an integer number (12876636825).

Almost surely, 2^{1315005424000} is an apocalyptic number.

1315005424000 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 1315005424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648209513600).

1315005424000 is an abundant number, since it is smaller than the sum of its proper divisors (1981413603200).

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

1315005424000 is a wasteful number, since it uses less digits than its factorization.

1315005424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1315005424000 in words is "one trillion, three hundred fifteen billion, five million, four hundred twenty-four thousand".