1248303450240 has 3072 divisors, whose sum is σ = 6118374528000. Its totient is φ = 234348871680.

The previous prime is 1248303450197. The next prime is 1248303450253. The reversal of 1248303450240 is 420543038421.

1248303450240 is a `hidden beast` number, since 1 + 2 + 4 + 83 + 0 + 34 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1248303450195 and 1248303450204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7215626794 + ... + 7215626966.

It is an arithmetic number, because the mean of its divisors is an integer number (1991658375).

Almost surely, 2^{1248303450240} is an apocalyptic number.

1248303450240 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 1248303450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059187264000).

1248303450240 is an abundant number, since it is smaller than the sum of its proper divisors (4870071077760).

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

1248303450240 is a wasteful number, since it uses less digits than its factorization.

1248303450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1248303450240 its reverse (420543038421), we get a palindrome (1668846488661).

The spelling of 1248303450240 in words is "one trillion, two hundred forty-eight billion, three hundred three million, four hundred fifty thousand, two hundred forty".