1334400424 has 64 divisors (see below), whose sum is σ = 2953843200. Its totient is φ = 553258944.

The previous prime is 1334400409. The next prime is 1334400427. The reversal of 1334400424 is 4240044331.

It is not an unprimeable number, because it can be changed into a prime (1334400427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255067 + ... + 260245.

It is an arithmetic number, because the mean of its divisors is an integer number (46153800).

Almost surely, 2^1334400424 is an apocalyptic number.

1334400424 is a gapful number since it is divisible by the number (14) 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 1334400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476921600).

1334400424 is an abundant number, since it is smaller than the sum of its proper divisors (1619442776).

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

1334400424 is a wasteful number, since it uses less digits than its factorization.

1334400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1334400424 is about 36529.4459853965. The cubic root of 1334400424 is about 1100.9359593153.

Adding to 1334400424 its reverse (4240044331), we get a palindrome (5574444755).

The spelling of 1334400424 in words is "one billion, three hundred thirty-four million, four hundred thousand, four hundred twenty-four".