1334431113400 has 192 divisors, whose sum is σ = 3868948800000. Its totient is φ = 415837171200.

The previous prime is 1334431113377. The next prime is 1334431113427. The reversal of 1334431113400 is 43111344331.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 138579786 + ... + 138589414.

It is an arithmetic number, because the mean of its divisors is an integer number (20150775000).

Almost surely, 2^{1334431113400} is an apocalyptic number.

1334431113400 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 1334431113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934474400000).

1334431113400 is an abundant number, since it is smaller than the sum of its proper divisors (2534517686600).

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

1334431113400 is a wasteful number, since it uses less digits than its factorization.

1334431113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18662 (or 18653 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1334431113400 its reverse (43111344331), we get a palindrome (1377542457731).

The spelling of 1334431113400 in words is "one trillion, three hundred thirty-four billion, four hundred thirty-one million, one hundred thirteen thousand, four hundred".