13390871400 has 480 divisors, whose sum is σ = 49228724160. Its totient is φ = 3366696960.

The previous prime is 13390871393. The next prime is 13390871411. The reversal of 13390871400 is 417809331.

It is a happy number.

13390871400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30925584 + ... + 30926016.

It is an arithmetic number, because the mean of its divisors is an integer number (102559842).

Almost surely, 2^13390871400 is an apocalyptic number.

13390871400 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 13390871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24614362080).

13390871400 is an abundant number, since it is smaller than the sum of its proper divisors (35837852760).

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

13390871400 is a wasteful number, since it uses less digits than its factorization.

13390871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13390871400 in words is "thirteen billion, three hundred ninety million, eight hundred seventy-one thousand, four hundred".