13456410000 has 400 divisors, whose sum is σ = 47921510208. Its totient is φ = 3252480000.

The previous prime is 13456409983. The next prime is 13456410053. The reversal of 13456410000 is 1465431.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39929832 + ... + 39930168.

Almost surely, 2^13456410000 is an apocalyptic number.

13456410000 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 13456410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23960755104).

13456410000 is an abundant number, since it is smaller than the sum of its proper divisors (34465100208).

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

13456410000 is an equidigital number, since it uses as much as digits as its factorization.

13456410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13456410000 its reverse (1465431), we get a palindrome (13457875431).

The spelling of 13456410000 in words is "thirteen billion, four hundred fifty-six million, four hundred ten thousand".