13430355400 has 192 divisors, whose sum is σ = 39313198080. Its totient is φ = 4144953600.

The previous prime is 13430355373. The next prime is 13430355443. The reversal of 13430355400 is 455303431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581967 + ... + 1590433.

It is an arithmetic number, because the mean of its divisors is an integer number (204756240).

Almost surely, 2^13430355400 is an apocalyptic number.

13430355400 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 13430355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656599040).

13430355400 is an abundant number, since it is smaller than the sum of its proper divisors (25882842680).

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

13430355400 is a wasteful number, since it uses less digits than its factorization.

13430355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 13430355400 its reverse (455303431), we get a palindrome (13885658831).

The spelling of 13430355400 in words is "thirteen billion, four hundred thirty million, three hundred fifty-five thousand, four hundred".