13430476800 has 936 divisors, whose sum is σ = 55456346400. Its totient is φ = 3078881280.

The previous prime is 13430476793. The next prime is 13430476831. The reversal of 13430476800 is 867403431.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 227635171 + ... + 227635229.

Almost surely, 2^13430476800 is an apocalyptic number.

13430476800 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 13430476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27728173200).

13430476800 is an abundant number, since it is smaller than the sum of its proper divisors (42025869600).

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

13430476800 is a wasteful number, since it uses less digits than its factorization.

13430476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13430476800 in words is "thirteen billion, four hundred thirty million, four hundred seventy-six thousand, eight hundred".