240448416001420 has 192 divisors, whose sum is σ = 576641924812800. Its totient is φ = 83452142672640.

The previous prime is 240448416001411. The next prime is 240448416001433. The reversal of 240448416001420 is 24100614844042.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91919551 + ... + 94499209.

It is an arithmetic number, because the mean of its divisors is an integer number (3003343358400).

Almost surely, 2^{240448416001420} is an apocalyptic number.

240448416001420 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 240448416001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288320962406400).

240448416001420 is an abundant number, since it is smaller than the sum of its proper divisors (336193508811380).

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

240448416001420 is a wasteful number, since it uses less digits than its factorization.

240448416001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579948 (or 2579946 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 240448416001420 in words is "two hundred forty trillion, four hundred forty-eight billion, four hundred sixteen million, one thousand, four hundred twenty".