54450325440 has 1120 divisors, whose sum is σ = 237925416960. Its totient is φ = 11537842176.

The previous prime is 54450325439. The next prime is 54450325453. The reversal of 54450325440 is 4452305445.

54450325440 is a `hidden beast` number, since 544 + 50 + 3 + 25 + 4 + 40 = 666.

54450325440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×54450325440² (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 = 54450325395 and 54450325404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 391728891 + ... + 391729029.

It is an arithmetic number, because the mean of its divisors is an integer number (212433408).

Almost surely, 2^54450325440 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 54450325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118962708480).

54450325440 is an abundant number, since it is smaller than the sum of its proper divisors (183475091520).

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

54450325440 is a wasteful number, since it uses less digits than its factorization.

54450325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 54450325440 in words is "fifty-four billion, four hundred fifty million, three hundred twenty-five thousand, four hundred forty".