11474464400 has 120 divisors (see below), whose sum is σ = 31579228800. Its totient is φ = 3924910080.

The previous prime is 11474464369. The next prime is 11474464409. The reversal of 11474464400 is 446447411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (11474464409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252637 + ... + 1261763.

It is an arithmetic number, because the mean of its divisors is an integer number (263160240).

Almost surely, 2^11474464400 is an apocalyptic number.

11474464400 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 11474464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789614400).

11474464400 is an abundant number, since it is smaller than the sum of its proper divisors (20104764400).

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

11474464400 is a wasteful number, since it uses less digits than its factorization.

11474464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 11474464400 in words is "eleven billion, four hundred seventy-four million, four hundred sixty-four thousand, four hundred".