1316577440 has 96 divisors (see below), whose sum is σ = 3285950976. Its totient is φ = 497710080.

The previous prime is 1316577439. The next prime is 1316577473. The reversal of 1316577440 is 447756131.

It is a junction number, because it is equal to n+sod(n) for n = 1316577394 and 1316577403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210194 + ... + 216366.

It is an arithmetic number, because the mean of its divisors is an integer number (34228656).

Almost surely, 2^1316577440 is an apocalyptic number.

1316577440 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 1316577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642975488).

1316577440 is an abundant number, since it is smaller than the sum of its proper divisors (1969373536).

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

1316577440 is a wasteful number, since it uses less digits than its factorization.

1316577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1316577440 is about 36284.6722460049. The cubic root of 1316577440 is about 1096.0124050668.

The spelling of 1316577440 in words is "one billion, three hundred sixteen million, five hundred seventy-seven thousand, four hundred forty".