1334628838400 has 1056 divisors, whose sum is σ = 4120347280896. Its totient is φ = 425238528000.

The previous prime is 1334628838397. The next prime is 1334628838421. The reversal of 1334628838400 is 48388264331.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 95 ways as a sum of consecutive naturals, for example, 10188006335 + ... + 10188006465.

It is an arithmetic number, because the mean of its divisors is an integer number (3901844016).

Almost surely, 2^{1334628838400} is an apocalyptic number.

1334628838400 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 1334628838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060173640448).

1334628838400 is an abundant number, since it is smaller than the sum of its proper divisors (2785718442496).

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

1334628838400 is a wasteful number, since it uses less digits than its factorization.

1334628838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 1334628838400 in words is "one trillion, three hundred thirty-four billion, six hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred".