11420420004 has 216 divisors, whose sum is σ = 35687099448. Its totient is φ = 3059804160.

The previous prime is 11420419999. The next prime is 11420420029. The reversal of 11420420004 is 40002402411.

11420420004 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 3678179904 + 7742240100 = 60648^2 + 87990^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 11185014 + ... + 11186034.

It is an arithmetic number, because the mean of its divisors is an integer number (165218053).

Almost surely, 2^11420420004 is an apocalyptic number.

11420420004 is a gapful number since it is divisible by the number (14) 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 11420420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843549724).

11420420004 is an abundant number, since it is smaller than the sum of its proper divisors (24266679444).

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

11420420004 is a wasteful number, since it uses less digits than its factorization.

11420420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11420420004 its reverse (40002402411), we get a palindrome (51422822415).

The spelling of 11420420004 in words is "eleven billion, four hundred twenty million, four hundred twenty thousand, four".