11484441540 has 432 divisors, whose sum is σ = 42162591744. Its totient is φ = 2512350720.

The previous prime is 11484441539. The next prime is 11484441547. The reversal of 11484441540 is 4514448411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11484441495 and 11484441504.

It is not an unprimeable number, because it can be changed into a prime (11484441547) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13307149 + ... + 13308011.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592).

Almost surely, 2^11484441540 is an apocalyptic number.

11484441540 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 11484441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081295872).

11484441540 is an abundant number, since it is smaller than the sum of its proper divisors (30678150204).

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

11484441540 is a wasteful number, since it uses less digits than its factorization.

11484441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 11484441540 its reverse (4514448411), we get a palindrome (15998889951).

The spelling of 11484441540 in words is "eleven billion, four hundred eighty-four million, four hundred forty-one thousand, five hundred forty".