13400201132416 has 64 divisors (see below), whose sum is σ = 30541949131680. Its totient is φ = 5736813907968.

The previous prime is 13400201132413. The next prime is 13400201132453. The reversal of 13400201132416 is 61423110200431.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400201132411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7141015 + ... + 8820118.

Almost surely, 2^{13400201132416} is an apocalyptic number.

13400201132416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13400201132416 is an abundant number, since it is smaller than the sum of its proper divisors (17141747999264).

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

13400201132416 is an equidigital number, since it uses as much as digits as its factorization.

13400201132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962091 (or 15962079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13400201132416 its reverse (61423110200431), we get a palindrome (74823311332847).

The spelling of 13400201132416 in words is "thirteen trillion, four hundred billion, two hundred one million, one hundred thirty-two thousand, four hundred sixteen".