1293431040 has 432 divisors, whose sum is σ = 4993410240. Its totient is φ = 306462720.

The previous prime is 1293431039. The next prime is 1293431053. The reversal of 1293431040 is 401343921.

It is a junction number, because it is equal to n+sod(n) for n = 1293430995 and 1293431013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7476394 + ... + 7476566.

It is an arithmetic number, because the mean of its divisors is an integer number (11558820).

Almost surely, 2^1293431040 is an apocalyptic number.

1293431040 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 1293431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496705120).

1293431040 is an abundant number, since it is smaller than the sum of its proper divisors (3699979200).

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

1293431040 is a wasteful number, since it uses less digits than its factorization.

1293431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1293431040 is about 35964.3023010318. The cubic root of 1293431040 is about 1089.5514918212.

Adding to 1293431040 its reverse (401343921), we get a palindrome (1694774961).

The spelling of 1293431040 in words is "one billion, two hundred ninety-three million, four hundred thirty-one thousand, forty".