54126445124040 has 128 divisors (see below), whose sum is σ = 167656783564800. Its totient is φ = 13964831112960.

The previous prime is 54126445124029. The next prime is 54126445124069. The reversal of 54126445124040 is 4042154462145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54126445123983 and 54126445124001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14135319 + ... + 17551641.

It is an arithmetic number, because the mean of its divisors is an integer number (1309818621600).

Almost surely, 2^{54126445124040} 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 54126445124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83828391782400).

54126445124040 is an abundant number, since it is smaller than the sum of its proper divisors (113530338440760).

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

54126445124040 is a wasteful number, since it uses less digits than its factorization.

54126445124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420627 (or 3420623 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

Adding to 54126445124040 its reverse (4042154462145), we get a palindrome (58168599586185).

The spelling of 54126445124040 in words is "fifty-four trillion, one hundred twenty-six billion, four hundred forty-five million, one hundred twenty-four thousand, forty".