1334115640 has 128 divisors (see below), whose sum is σ = 3548966400. Its totient is φ = 444971520.

The previous prime is 1334115619. The next prime is 1334115649. The reversal of 1334115640 is 465114331.

It is a junction number, because it is equal to n+sod(n) for n = 1334115599 and 1334115608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334115649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1023229 + ... + 1024531.

It is an arithmetic number, because the mean of its divisors is an integer number (27726300).

Almost surely, 2^1334115640 is an apocalyptic number.

1334115640 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 1334115640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774483200).

1334115640 is an abundant number, since it is smaller than the sum of its proper divisors (2214850760).

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

1334115640 is a wasteful number, since it uses less digits than its factorization.

1334115640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1334115640 is about 36525.5477713887. The cubic root of 1334115640 is about 1100.8576341871.

Adding to 1334115640 its reverse (465114331), we get a palindrome (1799229971).

The spelling of 1334115640 in words is "one billion, three hundred thirty-four million, one hundred fifteen thousand, six hundred forty".