240535357920 has 2304 divisors, whose sum is σ = 1108119398400. Its totient is φ = 48776048640.

The previous prime is 240535357879. The next prime is 240535357957. The reversal of 240535357920 is 29753535042.

240535357920 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 3 + 53 + 579 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10458059029 + ... + 10458059051.

It is an arithmetic number, because the mean of its divisors is an integer number (480954600).

Almost surely, 2^240535357920 is an apocalyptic number.

240535357920 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 240535357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554059699200).

240535357920 is an abundant number, since it is smaller than the sum of its proper divisors (867584040480).

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

240535357920 is a wasteful number, since it uses less digits than its factorization.

240535357920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 240535357920 in words is "two hundred forty billion, five hundred thirty-five million, three hundred fifty-seven thousand, nine hundred twenty".