240220420000 has 480 divisors, whose sum is σ = 686558980800. Its totient is φ = 81792000000.

The previous prime is 240220419979. The next prime is 240220420003. The reversal of 240220420000 is 24022042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (240220420003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 422179716 + ... + 422180284.

It is an arithmetic number, because the mean of its divisors is an integer number (1430331210).

Almost surely, 2^240220420000 is an apocalyptic number.

240220420000 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 240220420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343279490400).

240220420000 is an abundant number, since it is smaller than the sum of its proper divisors (446338560800).

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

240220420000 is a wasteful number, since it uses less digits than its factorization.

240220420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 240220420000 its reverse (24022042), we get a palindrome (240244442042).

240220420000 divided by its reverse (24022042) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 2402 and 20420000, that added together give a palindrome (20422402).

The spelling of 240220420000 in words is "two hundred forty billion, two hundred twenty million, four hundred twenty thousand".