11428419920 has 40 divisors (see below), whose sum is σ = 26674513704. Its totient is φ = 4553572352.

The previous prime is 11428419913. The next prime is 11428420007. The reversal of 11428419920 is 2991482411.

11428419920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6838628416 + 4589791504 = 82696^2 + 67748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 257369 + ... + 298488.

Almost surely, 2^11428419920 is an apocalyptic number.

11428419920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11428419920 is an abundant number, since it is smaller than the sum of its proper divisors (15246093784).

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

11428419920 is a wasteful number, since it uses less digits than its factorization.

11428419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556127 (or 556121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 11428419920 in words is "eleven billion, four hundred twenty-eight million, four hundred nineteen thousand, nine hundred twenty".