4240213440000 has 800 divisors, whose sum is σ = 15313014341856. Its totient is φ = 1038090240000.

The previous prime is 4240213439993. The next prime is 4240213440019. The reversal of 4240213440000 is 443120424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 669116832 + ... + 669123168.

Almost surely, 2^{4240213440000} is an apocalyptic number.

4240213440000 is a gapful number since it is divisible by the number (40) 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 4240213440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656507170928).

4240213440000 is an abundant number, since it is smaller than the sum of its proper divisors (11072800901856).

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

4240213440000 is an equidigital number, since it uses as much as digits as its factorization.

4240213440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4240213440000 its reverse (443120424), we get a palindrome (4240656560424).

The spelling of 4240213440000 in words is "four trillion, two hundred forty billion, two hundred thirteen million, four hundred forty thousand".