13434730472000 has 448 divisors, whose sum is σ = 35098645982400. Its totient is φ = 5087055052800.

The previous prime is 13434730471999. The next prime is 13434730472081. The reversal of 13434730472000 is 27403743431.

It can be written as a sum of positive squares in 32 ways, for example, as 8553706307584 + 4881024164416 = 2924672^2 + 2209304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2452933262 + ... + 2452938738.

It is an arithmetic number, because the mean of its divisors is an integer number (78345191925).

Almost surely, 2^{13434730472000} is an apocalyptic number.

13434730472000 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 13434730472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549322991200).

13434730472000 is an abundant number, since it is smaller than the sum of its proper divisors (21663915510400).

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

13434730472000 is a wasteful number, since it uses less digits than its factorization.

13434730472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 38.

The spelling of 13434730472000 in words is "thirteen trillion, four hundred thirty-four billion, seven hundred thirty million, four hundred seventy-two thousand".