13458370380 has 576 divisors, whose sum is σ = 50210721792. Its totient is φ = 2664990720.

The previous prime is 13458370361. The next prime is 13458370381. The reversal of 13458370380 is 8307385431.

13458370380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13458370380² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13458370381) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 43838187 + ... + 43838493.

It is an arithmetic number, because the mean of its divisors is an integer number (87171392).

Almost surely, 2^13458370380 is an apocalyptic number.

13458370380 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 13458370380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25105360896).

13458370380 is an abundant number, since it is smaller than the sum of its proper divisors (36752351412).

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

13458370380 is a wasteful number, since it uses less digits than its factorization.

13458370380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13458370380 in words is "thirteen billion, four hundred fifty-eight million, three hundred seventy thousand, three hundred eighty".