54819434040 has 192 divisors, whose sum is σ = 197480540160. Its totient is φ = 12125917440.

The previous prime is 54819434029. The next prime is 54819434041. The reversal of 54819434040 is 4043491845.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54819433983 and 54819434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54819434041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31909 + ... + 332651.

It is an arithmetic number, because the mean of its divisors is an integer number (1028544480).

Almost surely, 2^54819434040 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 54819434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98740270080).

54819434040 is an abundant number, since it is smaller than the sum of its proper divisors (142661106120).

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

54819434040 is a wasteful number, since it uses less digits than its factorization.

54819434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300802 (or 300791 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 54819434040 in words is "fifty-four billion, eight hundred nineteen million, four hundred thirty-four thousand, forty".