54122331440 has 80 divisors (see below), whose sum is σ = 132526621920. Its totient is φ = 20498780160.

The previous prime is 54122331433. The next prime is 54122331443. The reversal of 54122331440 is 4413322145.

54122331440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (54122331443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3276482 + ... + 3292958.

It is an arithmetic number, because the mean of its divisors is an integer number (1656582774).

Almost surely, 2^54122331440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54122331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66263310960).

54122331440 is an abundant number, since it is smaller than the sum of its proper divisors (78404290480).

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

54122331440 is a wasteful number, since it uses less digits than its factorization.

54122331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670 (or 18664 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 54122331440 its reverse (4413322145), we get a palindrome (58535653585).

The spelling of 54122331440 in words is "fifty-four billion, one hundred twenty-two million, three hundred thirty-one thousand, four hundred forty".