1283543040 has 208 divisors, whose sum is σ = 4425499008. Its totient is φ = 315752448.

The previous prime is 1283543039. The next prime is 1283543057. The reversal of 1283543040 is 403453821.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1283542989 and 1283543007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797917 + ... + 799523.

Almost surely, 2^1283543040 is an apocalyptic number.

1283543040 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 1283543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212749504).

1283543040 is an abundant number, since it is smaller than the sum of its proper divisors (3141955968).

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

1283543040 is a wasteful number, since it uses less digits than its factorization.

1283543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1283543040 is about 35826.5689119123. The cubic root of 1283543040 is about 1086.7679247900.

Adding to 1283543040 its reverse (403453821), we get a palindrome (1686996861).

The spelling of 1283543040 in words is "one billion, two hundred eighty-three million, five hundred forty-three thousand, forty".