1334312040 has 128 divisors (see below), whose sum is σ = 4154976000. Its totient is φ = 342386688.

The previous prime is 1334312039. The next prime is 1334312051. The reversal of 1334312040 is 402134331.

It is a junction number, because it is equal to n+sod(n) for n = 1334311998 and 1334312016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589941 + ... + 1590779.

It is an arithmetic number, because the mean of its divisors is an integer number (32460750).

Almost surely, 2^1334312040 is an apocalyptic number.

1334312040 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 1334312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077488000).

1334312040 is an abundant number, since it is smaller than the sum of its proper divisors (2820663960).

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

1334312040 is a wasteful number, since it uses less digits than its factorization.

1334312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1334312040 is about 36528.2362016016. The cubic root of 1334312040 is about 1100.9116519509.

Adding to 1334312040 its reverse (402134331), we get a palindrome (1736446371).

The spelling of 1334312040 in words is "one billion, three hundred thirty-four million, three hundred twelve thousand, forty".