13425013430400 has 768 divisors, whose sum is σ = 53740679126400. Its totient is φ = 2900597145600.

The previous prime is 13425013430393. The next prime is 13425013430431. The reversal of 13425013430400 is 403431052431.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 39642592 + ... + 39979808.

Almost surely, 2^{13425013430400} is an apocalyptic number.

13425013430400 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 13425013430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26870339563200).

13425013430400 is an abundant number, since it is smaller than the sum of its proper divisors (40315665696000).

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

13425013430400 is a wasteful number, since it uses less digits than its factorization.

13425013430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337297 (or 337280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13425013430400 its reverse (403431052431), we get a palindrome (13828444482831).

The spelling of 13425013430400 in words is "thirteen trillion, four hundred twenty-five billion, thirteen million, four hundred thirty thousand, four hundred".