1334004120 has 128 divisors (see below), whose sum is σ = 4519800000. Its totient is φ = 349885440.

The previous prime is 1334004109. The next prime is 1334004131. The reversal of 1334004120 is 214004331.

It is an interprime number because it is at equal distance from previous prime (1334004109) and next prime (1334004131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1334004093 and 1334004102.

It is a congruent number.

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, 55756 + ... + 76004.

Almost surely, 2^1334004120 is an apocalyptic number.

1334004120 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 1334004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259900000).

1334004120 is an abundant number, since it is smaller than the sum of its proper divisors (3185795880).

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

1334004120 is a wasteful number, since it uses less digits than its factorization.

1334004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 20320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1334004120 is about 36524.0211367807. The cubic root of 1334004120 is about 1100.8269594188.

Adding to 1334004120 its reverse (214004331), we get a palindrome (1548008451).

The spelling of 1334004120 in words is "one billion, three hundred thirty-four million, four thousand, one hundred twenty".