54421741440 has 384 divisors, whose sum is σ = 205451925120. Its totient is φ = 13164687360.

The previous prime is 54421741393. The next prime is 54421741447. The reversal of 54421741440 is 4414712445.

54421741440 is a `hidden beast` number, since 5 + 4 + 42 + 174 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 54421741395 and 54421741404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54421741447) 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, 57467047 + ... + 57467993.

It is an arithmetic number, because the mean of its divisors is an integer number (535031055).

Almost surely, 2^54421741440 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 54421741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102725962560).

54421741440 is an abundant number, since it is smaller than the sum of its proper divisors (151030183680).

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

54421741440 is a wasteful number, since it uses less digits than its factorization.

54421741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 54421741440 in words is "fifty-four billion, four hundred twenty-one million, seven hundred forty-one thousand, four hundred forty".