11420813376 has 336 divisors, whose sum is σ = 39608150400. Its totient is φ = 3261565440.

The previous prime is 11420813357. The next prime is 11420813419. The reversal of 11420813376 is 67331802411.

It is a happy number.

11420813376 is a `hidden beast` number, since 114 + 208 + 1 + 337 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11420813376.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5333266 + ... + 5335406.

It is an arithmetic number, because the mean of its divisors is an integer number (117881400).

Almost surely, 2^11420813376 is an apocalyptic number.

11420813376 is a gapful number since it is divisible by the number (16) 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 11420813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804075200).

11420813376 is an abundant number, since it is smaller than the sum of its proper divisors (28187337024).

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

11420813376 is an frugal number, since it uses more digits than its factorization.

11420813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11420813376 in words is "eleven billion, four hundred twenty million, eight hundred thirteen thousand, three hundred seventy-six".