20442464700 has 288 divisors, whose sum is σ = 69610544640. Its totient is φ = 4534579200.

The previous prime is 20442464683. The next prime is 20442464729. The reversal of 20442464700 is 746424402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20060791 + ... + 20061809.

It is an arithmetic number, because the mean of its divisors is an integer number (241703280).

Almost surely, 2^20442464700 is an apocalyptic number.

20442464700 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 20442464700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34805272320).

20442464700 is an abundant number, since it is smaller than the sum of its proper divisors (49168079940).

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

20442464700 is a wasteful number, since it uses less digits than its factorization.

20442464700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 20442464700 in words is "twenty billion, four hundred forty-two million, four hundred sixty-four thousand, seven hundred".