1334442122400 has 144 divisors (see below), whose sum is σ = 4493388967200. Its totient is φ = 343580482560.

The previous prime is 1334442122389. The next prime is 1334442122459. The reversal of 1334442122400 is 42212444331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9516910 + ... + 9656109.

It is an arithmetic number, because the mean of its divisors is an integer number (31204090050).

Almost surely, 2^{1334442122400} is an apocalyptic number.

1334442122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334442122400 is an abundant number, since it is smaller than the sum of its proper divisors (3158946844800).

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

1334442122400 is a wasteful number, since it uses less digits than its factorization.

1334442122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19173071 (or 19173058 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1334442122400 its reverse (42212444331), we get a palindrome (1376654566731).

The spelling of 1334442122400 in words is "one trillion, three hundred thirty-four billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred".