54412240000 has 160 divisors (see below), whose sum is σ = 143427447900. Its totient is φ = 20484096000.

The previous prime is 54412239977. The next prime is 54412240013. The reversal of 54412240000 is 4221445.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3115425856 + 51296814144 = 55816^2 + 226488^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1339996 + ... + 1380004.

Almost surely, 2^54412240000 is an apocalyptic number.

54412240000 is a gapful number since it is divisible by the number (50) 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 54412240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71713723950).

54412240000 is an abundant number, since it is smaller than the sum of its proper divisors (89015207900).

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

54412240000 is an equidigital number, since it uses as much as digits as its factorization.

54412240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40060 (or 40033 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 54412240000 its reverse (4221445), we get a palindrome (54416461445).

It can be divided in two parts, 544 and 12240000, that multiplied together give a square (6658560000 = 81600²).

The spelling of 54412240000 in words is "fifty-four billion, four hundred twelve million, two hundred forty thousand".