13421400000 has 168 divisors, whose sum is σ = 44387627760. Its totient is φ = 3578880000.

The previous prime is 13421399993. The next prime is 13421400037. The reversal of 13421400000 is 412431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588816 + ... + 611184.

It is an arithmetic number, because the mean of its divisors is an integer number (264212070).

Almost surely, 2^13421400000 is an apocalyptic number.

13421400000 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 13421400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193813880).

13421400000 is an abundant number, since it is smaller than the sum of its proper divisors (30966227760).

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

13421400000 is an frugal number, since it uses more digits than its factorization.

13421400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22409 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13421400000 its reverse (412431), we get a palindrome (13421812431).

The spelling of 13421400000 in words is "thirteen billion, four hundred twenty-one million, four hundred thousand".