13135454118400 has 960 divisors, whose sum is σ = 36250461536256. Its totient is φ = 4700602368000.

The previous prime is 13135454118361. The next prime is 13135454118421. The reversal of 13135454118400 is 481145453131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48470310265 + ... + 48470310535.

Almost surely, 2^{13135454118400} is an apocalyptic number.

13135454118400 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 13135454118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125230768128).

13135454118400 is an abundant number, since it is smaller than the sum of its proper divisors (23115007417856).

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

13135454118400 is a wasteful number, since it uses less digits than its factorization.

13135454118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 13135454118400 in words is "thirteen trillion, one hundred thirty-five billion, four hundred fifty-four million, one hundred eighteen thousand, four hundred".