1316940000 has 240 divisors, whose sum is σ = 4421184768. Its totient is φ = 342976000.

The previous prime is 1316939993. The next prime is 1316940017. The reversal of 1316940000 is 496131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 2819767 + ... + 2820233.

Almost surely, 2^1316940000 is an apocalyptic number.

1316940000 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 1316940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210592384).

1316940000 is an abundant number, since it is smaller than the sum of its proper divisors (3104244768).

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

1316940000 is an equidigital number, since it uses as much as digits as its factorization.

1316940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1316940000 is about 36289.6679510849. The cubic root of 1316940000 is about 1096.1130027162.

The spelling of 1316940000 in words is "one billion, three hundred sixteen million, nine hundred forty thousand".