1243919040 has 448 divisors, whose sum is σ = 5038709760. Its totient is φ = 252887040.

The previous prime is 1243919003. The next prime is 1243919041. The reversal of 1243919040 is 409193421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1243918992 and 1243919010.

It is not an unprimeable number, because it can be changed into a prime (1243919041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2533195 + ... + 2533685.

It is an arithmetic number, because the mean of its divisors is an integer number (11247120).

Almost surely, 2^1243919040 is an apocalyptic number.

1243919040 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 1243919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519354880).

1243919040 is an abundant number, since it is smaller than the sum of its proper divisors (3794790720).

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

1243919040 is a wasteful number, since it uses less digits than its factorization.

1243919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1243919040 is about 35269.2364533172. The cubic root of 1243919040 is about 1075.4677005802.

The spelling of 1243919040 in words is "one billion, two hundred forty-three million, nine hundred nineteen thousand, forty".