1334142204400 has 240 divisors, whose sum is σ = 3663508824000. Its totient is φ = 463859630080.

The previous prime is 1334142204389. The next prime is 1334142204413. The reversal of 1334142204400 is 44022414331.

It is a super-2 number, since 2×1334142204400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4388526 + ... + 4682674.

It is an arithmetic number, because the mean of its divisors is an integer number (15264620100).

Almost surely, 2^{1334142204400} is an apocalyptic number.

1334142204400 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 1334142204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831754412000).

1334142204400 is an abundant number, since it is smaller than the sum of its proper divisors (2329366619600).

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

1334142204400 is a wasteful number, since it uses less digits than its factorization.

1334142204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294236 (or 294225 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1334142204400 its reverse (44022414331), we get a palindrome (1378164618731).

The spelling of 1334142204400 in words is "one trillion, three hundred thirty-four billion, one hundred forty-two million, two hundred four thousand, four hundred".