20442336480 has 144 divisors (see below), whose sum is σ = 69810917904. Its totient is φ = 5447270400.

The previous prime is 20442336457. The next prime is 20442336503. The reversal of 20442336480 is 8463324402.

20442336480 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 3 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20442336457) and next prime (20442336503).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301007 + ... + 2309873.

It is an arithmetic number, because the mean of its divisors is an integer number (484798041).

Almost surely, 2^20442336480 is an apocalyptic number.

20442336480 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 20442336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34905458952).

20442336480 is an abundant number, since it is smaller than the sum of its proper divisors (49368581424).

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

20442336480 is a wasteful number, since it uses less digits than its factorization.

20442336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 20442336480 in words is "twenty billion, four hundred forty-two million, three hundred thirty-six thousand, four hundred eighty".