13430394000 has 320 divisors, whose sum is σ = 48784020480. Its totient is φ = 3531340800.

The previous prime is 13430393989. The next prime is 13430394011. The reversal of 13430394000 is 49303431.

It is an interprime number because it is at equal distance from previous prime (13430393989) and next prime (13430394011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3940297 + ... + 3943703.

It is an arithmetic number, because the mean of its divisors is an integer number (152450064).

Almost surely, 2^13430394000 is an apocalyptic number.

13430394000 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 13430394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392010240).

13430394000 is an abundant number, since it is smaller than the sum of its proper divisors (35353626480).

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

13430394000 is a wasteful number, since it uses less digits than its factorization.

13430394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13430394000 its reverse (49303431), we get a palindrome (13479697431).

The spelling of 13430394000 in words is "thirteen billion, four hundred thirty million, three hundred ninety-four thousand".