13229420400 has 360 divisors, whose sum is σ = 55556470944. Its totient is φ = 2845900800.

The previous prime is 13229420353. The next prime is 13229420423. The reversal of 13229420400 is 402492231.

13229420400 is a `hidden beast` number, since 13 + 229 + 4 + 20 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 412960 + ... + 443840.

Almost surely, 2^13229420400 is an apocalyptic number.

13229420400 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 13229420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27778235472).

13229420400 is an abundant number, since it is smaller than the sum of its proper divisors (42327050544).

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

13229420400 is a wasteful number, since it uses less digits than its factorization.

13229420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30929 (or 30915 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13229420400 in words is "thirteen billion, two hundred twenty-nine million, four hundred twenty thousand, four hundred".