13458038630400 has 6912 divisors, whose sum is σ = 70020018432000. Its totient is φ = 2497078886400.

The previous prime is 13458038630357. The next prime is 13458038630419. The reversal of 13458038630400 is 403683085431.

13458038630400 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 8 + 0 + 3 + 8 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×13458038630400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 434130278385 + ... + 434130278415.

It is an arithmetic number, because the mean of its divisors is an integer number (10130211000).

Almost surely, 2^{13458038630400} is an apocalyptic number.

13458038630400 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 13458038630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010009216000).

13458038630400 is an abundant number, since it is smaller than the sum of its proper divisors (56561979801600).

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

13458038630400 is a wasteful number, since it uses less digits than its factorization.

13458038630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13458038630400 in words is "thirteen trillion, four hundred fifty-eight billion, thirty-eight million, six hundred thirty thousand, four hundred".