1334141040 has 80 divisors (see below), whose sum is σ = 4205980800. Its totient is φ = 349737216.

The previous prime is 1334141033. The next prime is 1334141047. The reversal of 1334141040 is 401414331.

1334141040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1334141033) and next prime (1334141047).

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

It is a super-2 number, since 2×1334141040² = 3559864629224563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1334140998 and 1334141016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334141047) by changing a digit.

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, 32950 + ... + 61269.

It is an arithmetic number, because the mean of its divisors is an integer number (52574760).

Almost surely, 2^1334141040 is an apocalyptic number.

1334141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334141040 is an abundant number, since it is smaller than the sum of its proper divisors (2871839760).

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

1334141040 is a wasteful number, since it uses less digits than its factorization.

1334141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94294 (or 94288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1334141040 is about 36525.8954715692. The cubic root of 1334141040 is about 1100.8646204896.

Adding to 1334141040 its reverse (401414331), we get a palindrome (1735555371).

The spelling of 1334141040 in words is "one billion, three hundred thirty-four million, one hundred forty-one thousand, forty".