240203104020 has 432 divisors, whose sum is σ = 839299091904. Its totient is φ = 57617049600.

The previous prime is 240203104019. The next prime is 240203104033. The reversal of 240203104020 is 20401302042.

240203104020 is a `hidden beast` number, since 240 + 20 + 3 + 1 + 0 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240203103984 and 240203104002.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 57039715 + ... + 57043925.

It is an arithmetic number, because the mean of its divisors is an integer number (1942821972).

Almost surely, 2^240203104020 is an apocalyptic number.

240203104020 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 240203104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419649545952).

240203104020 is an abundant number, since it is smaller than the sum of its proper divisors (599095987884).

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

240203104020 is a wasteful number, since it uses less digits than its factorization.

240203104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 240203104020 its reverse (20401302042), we get a palindrome (260604406062).

The spelling of 240203104020 in words is "two hundred forty billion, two hundred three million, one hundred four thousand, twenty".