20448061440 has 384 divisors, whose sum is σ = 70266268800. Its totient is φ = 5060689920.

The previous prime is 20448061409. The next prime is 20448061471. The reversal of 20448061440 is 4416084402.

It is an interprime number because it is at equal distance from previous prime (20448061409) and next prime (20448061471).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30934710 + ... + 30935370.

It is an arithmetic number, because the mean of its divisors is an integer number (182985075).

Almost surely, 2^20448061440 is an apocalyptic number.

20448061440 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 20448061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35133134400).

20448061440 is an abundant number, since it is smaller than the sum of its proper divisors (49818207360).

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

20448061440 is a wasteful number, since it uses less digits than its factorization.

20448061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 20448061440 in words is "twenty billion, four hundred forty-eight million, sixty-one thousand, four hundred forty".