20434942752 has 288 divisors, whose sum is σ = 67488277248. Its totient is φ = 5377204224.

The previous prime is 20434942709. The next prime is 20434942753. The reversal of 20434942752 is 25724943402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20434942753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3755778 + ... + 3761214.

It is an arithmetic number, because the mean of its divisors is an integer number (234334296).

Almost surely, 2^20434942752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33744138624).

20434942752 is an abundant number, since it is smaller than the sum of its proper divisors (47053334496).

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

20434942752 is a wasteful number, since it uses less digits than its factorization.

20434942752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 20434942752 in words is "twenty billion, four hundred thirty-four million, nine hundred forty-two thousand, seven hundred fifty-two".