1310465040 has 80 divisors (see below), whose sum is σ = 4070150208. Its totient is φ = 348794368.

The previous prime is 1310465029. The next prime is 1310465041. The reversal of 1310465040 is 405640131.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1310465040.

It is not an unprimeable number, because it can be changed into a prime (1310465041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128779 + ... + 138581.

Almost surely, 2^1310465040 is an apocalyptic number.

1310465040 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 1310465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035075104).

1310465040 is an abundant number, since it is smaller than the sum of its proper divisors (2759685168).

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

1310465040 is a wasteful number, since it uses less digits than its factorization.

1310465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1310465040 is about 36200.3458547014. The cubic root of 1310465040 is about 1094.3136417229.

The spelling of 1310465040 in words is "one billion, three hundred ten million, four hundred sixty-five thousand, forty".