13413146400 has 180 divisors, whose sum is σ = 48915373122. Its totient is φ = 3576821760.

The previous prime is 13413146399. The next prime is 13413146449. The reversal of 13413146400 is 464131431.

13413146400 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 14 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9384959376 + 4028187024 = 96876^2 + 63468^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 38697 + ... + 168296.

Almost surely, 2^13413146400 is an apocalyptic number.

13413146400 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 13413146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457686561).

13413146400 is an abundant number, since it is smaller than the sum of its proper divisors (35502226722).

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

13413146400 is a wasteful number, since it uses less digits than its factorization.

13413146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207025 (or 207003 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13413146400 its reverse (464131431), we get a palindrome (13877277831).

The spelling of 13413146400 in words is "thirteen billion, four hundred thirteen million, one hundred forty-six thousand, four hundred".