240948555120 has 1120 divisors, whose sum is σ = 1048119916032. Its totient is φ = 50133178368.

The previous prime is 240948555103. The next prime is 240948555121. The reversal of 240948555120 is 21555849042.

240948555120 is a `hidden beast` number, since 2 + 4 + 0 + 94 + 8 + 5 + 551 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240948555121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 440490687 + ... + 440491233.

Almost surely, 2^240948555120 is an apocalyptic number.

240948555120 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 240948555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524059958016).

240948555120 is an abundant number, since it is smaller than the sum of its proper divisors (807171360912).

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

240948555120 is a wasteful number, since it uses less digits than its factorization.

240948555120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 240948555120 in words is "two hundred forty billion, nine hundred forty-eight million, five hundred fifty-five thousand, one hundred twenty".