11460443400 has 216 divisors, whose sum is σ = 44772086970. Its totient is φ = 2619509760.

The previous prime is 11460443399. The next prime is 11460443419. The reversal of 11460443400 is 434406411.

11460443400 is a `hidden beast` number, since 1 + 14 + 604 + 4 + 3 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7653800196 + 3806643204 = 87486^2 + 61698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 23232 + ... + 153168.

Almost surely, 2^11460443400 is an apocalyptic number.

11460443400 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 11460443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386043485).

11460443400 is an abundant number, since it is smaller than the sum of its proper divisors (33311643570).

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

11460443400 is a wasteful number, since it uses less digits than its factorization.

11460443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129973 (or 129954 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11460443400 its reverse (434406411), we get a palindrome (11894849811).

The spelling of 11460443400 in words is "eleven billion, four hundred sixty million, four hundred forty-three thousand, four hundred".