1321403040 has 72 divisors (see below), whose sum is σ = 4509292788. Its totient is φ = 352373760.

The previous prime is 1321403033. The next prime is 1321403071. The reversal of 1321403040 is 403041231.

1321403040 is a `hidden beast` number, since 1 + 321 + 40 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1267644816 + 53758224 = 35604^2 + 7332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1321403040² = 3492211988242483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 457381 + ... + 460260.

Almost surely, 2^1321403040 is an apocalyptic number.

1321403040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321403040 is an abundant number, since it is smaller than the sum of its proper divisors (3187889748).

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

1321403040 is a wasteful number, since it uses less digits than its factorization.

1321403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917662 (or 917651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1321403040 is about 36351.1078235588. The cubic root of 1321403040 is about 1097.3498295820.

Adding to 1321403040 its reverse (403041231), we get a palindrome (1724444271).

The spelling of 1321403040 in words is "one billion, three hundred twenty-one million, four hundred three thousand, forty".