20424382848240 has 640 divisors, whose sum is σ = 74694319257600. Its totient is φ = 4614379241472.

The previous prime is 20424382848223. The next prime is 20424382848277. The reversal of 20424382848240 is 4284828342402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10196895079 + ... + 10196897081.

It is an arithmetic number, because the mean of its divisors is an integer number (116709873840).

Almost surely, 2^{20424382848240} is an apocalyptic number.

20424382848240 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 20424382848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37347159628800).

20424382848240 is an abundant number, since it is smaller than the sum of its proper divisors (54269936409360).

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

20424382848240 is a wasteful number, since it uses less digits than its factorization.

20424382848240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 51.

The spelling of 20424382848240 in words is "twenty trillion, four hundred twenty-four billion, three hundred eighty-two million, eight hundred forty-eight thousand, two hundred forty".