54424407240 has 768 divisors, whose sum is σ = 223590481920. Its totient is φ = 11195228160.

The previous prime is 54424407199. The next prime is 54424407259. The reversal of 54424407240 is 4270442445.

54424407240 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 4 + 407 + 240 = 666.

54424407240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54424407240² (a number of 22 digits) contains 22 as substring.

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 = 54424407195 and 54424407204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142100089 + ... + 142100471.

It is an arithmetic number, because the mean of its divisors is an integer number (291133440).

Almost surely, 2^54424407240 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 54424407240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111795240960).

54424407240 is an abundant number, since it is smaller than the sum of its proper divisors (169166074680).

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

54424407240 is a wasteful number, since it uses less digits than its factorization.

54424407240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

Adding to 54424407240 its reverse (4270442445), we get a palindrome (58694849685).

The spelling of 54424407240 in words is "fifty-four billion, four hundred twenty-four million, four hundred seven thousand, two hundred forty".