20130441408 has 1120 divisors, whose sum is σ = 80724695040. Its totient is φ = 4807434240.

The previous prime is 20130441407. The next prime is 20130441439. The reversal of 20130441408 is 80414403102.

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

It is not an unprimeable number, because it can be changed into a prime (20130441407) 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 159 ways as a sum of consecutive naturals, for example, 428307241 + ... + 428307287.

Almost surely, 2^20130441408 is an apocalyptic number.

20130441408 is a gapful number since it is divisible by the number (28) 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 20130441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40362347520).

20130441408 is an abundant number, since it is smaller than the sum of its proper divisors (60594253632).

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

20130441408 is a wasteful number, since it uses less digits than its factorization.

20130441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20130441408 in words is "twenty billion, one hundred thirty million, four hundred forty-one thousand, four hundred eight".