13144302030400 has 168 divisors, whose sum is σ = 32415190098624. Its totient is φ = 5246028748800.

The previous prime is 13144302030373. The next prime is 13144302030407. The reversal of 13144302030400 is 403020344131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13144302030407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376475635 + ... + 2376481165.

Almost surely, 2^{13144302030400} is an apocalyptic number.

13144302030400 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 13144302030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207595049312).

13144302030400 is an abundant number, since it is smaller than the sum of its proper divisors (19270888068224).

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

13144302030400 is a wasteful number, since it uses less digits than its factorization.

13144302030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13144302030400 its reverse (403020344131), we get a palindrome (13547322374531).

The spelling of 13144302030400 in words is "thirteen trillion, one hundred forty-four billion, three hundred two million, thirty thousand, four hundred".