13334140067400 has 72 divisors (see below), whose sum is σ = 44780487065730. Its totient is φ = 3555770684160.

The previous prime is 13334140067389. The next prime is 13334140067401. The reversal of 13334140067400 is 476004143331.

It can be written as a sum of positive squares in 3 ways, for example, as 8674214820804 + 4659925246596 = 2945202^2 + 2158686^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13334140067401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3703925997 + ... + 3703929596.

Almost surely, 2^{13334140067400} is an apocalyptic number.

13334140067400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334140067400 is an abundant number, since it is smaller than the sum of its proper divisors (31446346998330).

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

13334140067400 is a wasteful number, since it uses less digits than its factorization.

13334140067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407855615 (or 7407855603 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13334140067400 in words is "thirteen trillion, three hundred thirty-four billion, one hundred forty million, sixty-seven thousand, four hundred".