240427005477120 has 1440 divisors, whose sum is σ = 1098733363934976. Its totient is φ = 48740283187200.

The previous prime is 240427005477103. The next prime is 240427005477151. The reversal of 240427005477120 is 21774500724042.

240427005477120 is a `hidden beast` number, since 2 + 40 + 42 + 7 + 0 + 0 + 547 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 326950492 + ... + 327685028.

Almost surely, 2^{240427005477120} is an apocalyptic number.

240427005477120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240427005477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549366681967488).

240427005477120 is an abundant number, since it is smaller than the sum of its proper divisors (858306358457856).

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

240427005477120 is a wasteful number, since it uses less digits than its factorization.

240427005477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734629 (or 734606 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 240427005477120 in words is "two hundred forty trillion, four hundred twenty-seven billion, five million, four hundred seventy-seven thousand, one hundred twenty".