54288190440 has 512 divisors, whose sum is σ = 202822963200. Its totient is φ = 12804480000.

The previous prime is 54288190417. The next prime is 54288190457. The reversal of 54288190440 is 4409188245.

54288190440 is a `hidden beast` number, since 5 + 42 + 8 + 81 + 90 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95075355 + ... + 95075925.

It is an arithmetic number, because the mean of its divisors is an integer number (396138600).

Almost surely, 2^54288190440 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 54288190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101411481600).

54288190440 is an abundant number, since it is smaller than the sum of its proper divisors (148534772760).

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

54288190440 is a wasteful number, since it uses less digits than its factorization.

54288190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 54288190440 in words is "fifty-four billion, two hundred eighty-eight million, one hundred ninety thousand, four hundred forty".