1334401120 has 96 divisors (see below), whose sum is σ = 3542761152. Its totient is φ = 471263232.

The previous prime is 1334401037. The next prime is 1334401127. The reversal of 1334401120 is 211044331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334401127) 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, 33894 + ... + 61786.

It is an arithmetic number, because the mean of its divisors is an integer number (36903762).

Almost surely, 2^1334401120 is an apocalyptic number.

1334401120 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 1334401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771380576).

1334401120 is an abundant number, since it is smaller than the sum of its proper divisors (2208360032).

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

1334401120 is a wasteful number, since it uses less digits than its factorization.

1334401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944 (or 27936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1334401120 is about 36529.4555119564. The cubic root of 1334401120 is about 1100.9361507250.

Adding to 1334401120 its reverse (211044331), we get a palindrome (1545445451).

The spelling of 1334401120 in words is "one billion, three hundred thirty-four million, four hundred one thousand, one hundred twenty".