1334342400 has 108 divisors (see below), whose sum is σ = 4403671272. Its totient is φ = 355819520.

The previous prime is 1334342389. The next prime is 1334342441. The reversal of 1334342400 is 42434331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15549 + ... + 53948.

It is an arithmetic number, because the mean of its divisors is an integer number (40774734).

Almost surely, 2^1334342400 is an apocalyptic number.

1334342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334342400 is an abundant number, since it is smaller than the sum of its proper divisors (3069328872).

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

1334342400 is an equidigital number, since it uses as much as digits as its factorization.

1334342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69526 (or 69507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1334342400 is about 36528.6517681669. The cubic root of 1334342400 is about 1100.9200016780.

Adding to 1334342400 its reverse (42434331), we get a palindrome (1376776731).

The spelling of 1334342400 in words is "one billion, three hundred thirty-four million, three hundred forty-two thousand, four hundred".