1334055400000 has 168 divisors, whose sum is σ = 3338209544040. Its totient is φ = 528890880000.

The previous prime is 1334055399979. The next prime is 1334055400087. The reversal of 1334055400000 is 45504331.

It can be written as a sum of positive squares in 12 ways, for example, as 1044516704256 + 289538695744 = 1022016^2 + 538088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 22570486 + ... + 22629514.

It is an arithmetic number, because the mean of its divisors is an integer number (19870294905).

Almost surely, 2^{1334055400000} is an apocalyptic number.

1334055400000 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 1334055400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669104772020).

1334055400000 is an abundant number, since it is smaller than the sum of its proper divisors (2004154144040).

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

1334055400000 is an frugal number, since it uses more digits than its factorization.

1334055400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59179 (or 59149 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 1334055400000 in words is "one trillion, three hundred thirty-four billion, fifty-five million, four hundred thousand".