240085433700 has 504 divisors, whose sum is σ = 901257440832. Its totient is φ = 54351440640.

The previous prime is 240085433663. The next prime is 240085433713. The reversal of 240085433700 is 7334580042.

It is a happy number.

240085433700 is a `hidden beast` number, since 2 + 40 + 0 + 8 + 543 + 3 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54599902 + ... + 54604298.

It is an arithmetic number, because the mean of its divisors is an integer number (1788209208).

Almost surely, 2^240085433700 is an apocalyptic number.

240085433700 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 240085433700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450628720416).

240085433700 is an abundant number, since it is smaller than the sum of its proper divisors (661172007132).

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

240085433700 is a wasteful number, since it uses less digits than its factorization.

240085433700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 240085433700 in words is "two hundred forty billion, eighty-five million, four hundred thirty-three thousand, seven hundred".