54339420240 has 600 divisors, whose sum is σ = 223753301640. Its totient is φ = 12182317056.

The previous prime is 54339420227. The next prime is 54339420251. The reversal of 54339420240 is 4202493345.

54339420240 is a `hidden beast` number, since 5 + 4 + 3 + 394 + 20 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5830238736 + 48509181504 = 76356^2 + 220248^2 .

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 = 54339420195 and 54339420204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16826946 + ... + 16830174.

Almost surely, 2^54339420240 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 54339420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111876650820).

54339420240 is an abundant number, since it is smaller than the sum of its proper divisors (169413881400).

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

54339420240 is a wasteful number, since it uses less digits than its factorization.

54339420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 54339420240 in words is "fifty-four billion, three hundred thirty-nine million, four hundred twenty thousand, two hundred forty".