1334067840 has 512 divisors, whose sum is σ = 5552064000. Its totient is φ = 296386560.

The previous prime is 1334067803. The next prime is 1334067851. The reversal of 1334067840 is 487604331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1334067795 and 1334067804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4959226 + ... + 4959494.

It is an arithmetic number, because the mean of its divisors is an integer number (10843875).

Almost surely, 2^1334067840 is an apocalyptic number.

1334067840 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 1334067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032000).

1334067840 is an abundant number, since it is smaller than the sum of its proper divisors (4217996160).

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

1334067840 is a wasteful number, since it uses less digits than its factorization.

1334067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1334067840 is about 36524.8934290026. The cubic root of 1334067840 is about 1100.8444864954.

It can be divided in two parts, 133406 and 7840, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 1334067840 in words is "one billion, three hundred thirty-four million, sixty-seven thousand, eight hundred forty".