240213420000 has 360 divisors, whose sum is σ = 881166686400. Its totient is φ = 61989120000.

The previous prime is 240213419939. The next prime is 240213420019. The reversal of 240213420000 is 24312042.

240213420000 is a `hidden beast` number, since 240 + 2 + 1 + 3 + 420 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5558476 + ... + 5601524.

It is an arithmetic number, because the mean of its divisors is an integer number (2447685240).

Almost surely, 2^240213420000 is an apocalyptic number.

240213420000 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 240213420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440583343200).

240213420000 is an abundant number, since it is smaller than the sum of its proper divisors (640953266400).

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

240213420000 is a wasteful number, since it uses less digits than its factorization.

240213420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43116 (or 43090 counting only the distinct ones).

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

Adding to 240213420000 its reverse (24312042), we get a palindrome (240237732042).

The spelling of 240213420000 in words is "two hundred forty billion, two hundred thirteen million, four hundred twenty thousand".