1306400240 has 40 divisors (see below), whose sum is σ = 3044055168. Its totient is φ = 521411840.

The previous prime is 1306400239. The next prime is 1306400269. The reversal of 1306400240 is 420046031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 19169 + ... + 54591.

Almost surely, 2^1306400240 is an apocalyptic number.

1306400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306400240 is an abundant number, since it is smaller than the sum of its proper divisors (1737654928).

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

1306400240 is a wasteful number, since it uses less digits than its factorization.

1306400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35897 (or 35891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1306400240 is about 36144.1591408626. The cubic root of 1306400240 is about 1093.1810226390.

Adding to 1306400240 its reverse (420046031), we get a palindrome (1726446271).

The spelling of 1306400240 in words is "one billion, three hundred six million, four hundred thousand, two hundred forty".