13207456454400 has 1296 divisors, whose sum is σ = 55581745040640. Its totient is φ = 2961034444800.

The previous prime is 13207456454399. The next prime is 13207456454443. The reversal of 13207456454400 is 445465470231.

13207456454400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 45 + 64 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 394600866 + ... + 394634334.

Almost surely, 2^{13207456454400} is an apocalyptic number.

13207456454400 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 13207456454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27790872520320).

13207456454400 is an abundant number, since it is smaller than the sum of its proper divisors (42374288586240).

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

13207456454400 is a wasteful number, since it uses less digits than its factorization.

13207456454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33562 (or 33540 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 13207456454400 in words is "thirteen trillion, two hundred seven billion, four hundred fifty-six million, four hundred fifty-four thousand, four hundred".