13408146667400 has 48 divisors (see below), whose sum is σ = 31482593930340. Its totient is φ = 5310157088000.

The previous prime is 13408146667381. The next prime is 13408146667439. The reversal of 13408146667400 is 476664180431.

It is a happy number.

13408146667400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6738499523044 + 6669647144356 = 2595862^2 + 2582566^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331864619 + ... + 331905018.

Almost surely, 2^{13408146667400} is an apocalyptic number.

13408146667400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13408146667400 is an abundant number, since it is smaller than the sum of its proper divisors (18074447262940).

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

13408146667400 is a wasteful number, since it uses less digits than its factorization.

13408146667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663769754 (or 663769745 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 13408146667400 in words is "thirteen trillion, four hundred eight billion, one hundred forty-six million, six hundred sixty-seven thousand, four hundred".