54113331250440 has 768 divisors, whose sum is σ = 229694517158400. Its totient is φ = 11090282987520.

The previous prime is 54113331250423. The next prime is 54113331250441. The reversal of 54113331250440 is 4405213331145.

54113331250440 is a `hidden beast` number, since 5 + 4 + 1 + 133 + 3 + 12 + 504 + 4 + 0 = 666.

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 = 54113331250395 and 54113331250404.

It is not an unprimeable number, because it can be changed into a prime (54113331250441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66372304 + ... + 67182656.

It is an arithmetic number, because the mean of its divisors is an integer number (299081402550).

Almost surely, 2^{54113331250440} 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 54113331250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114847258579200).

54113331250440 is an abundant number, since it is smaller than the sum of its proper divisors (175581185907960).

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

54113331250440 is a wasteful number, since it uses less digits than its factorization.

54113331250440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810475 (or 810454 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 54113331250440 its reverse (4405213331145), we get a palindrome (58518544581585).

The spelling of 54113331250440 in words is "fifty-four trillion, one hundred thirteen billion, three hundred thirty-one million, two hundred fifty thousand, four hundred forty".