1248425418240 has 4320 divisors, whose sum is σ = 6436330860960. Its totient is φ = 220723937280.

The previous prime is 1248425418239. The next prime is 1248425418257. The reversal of 1248425418240 is 428145248421.

1248425418240 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 425 + 4 + 182 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 33741227502 + ... + 33741227538.

It is an arithmetic number, because the mean of its divisors is an integer number (1489891403).

Almost surely, 2^{1248425418240} is an apocalyptic number.

1248425418240 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 1248425418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218165430480).

1248425418240 is an abundant number, since it is smaller than the sum of its proper divisors (5187905442720).

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

1248425418240 is a wasteful number, since it uses less digits than its factorization.

1248425418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 1248425418240 in words is "one trillion, two hundred forty-eight billion, four hundred twenty-five million, four hundred eighteen thousand, two hundred forty".