20441592000 has 448 divisors, whose sum is σ = 75821316480. Its totient is φ = 5391360000.

The previous prime is 20441591993. The next prime is 20441592029. The reversal of 20441592000 is 29514402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21815532 + ... + 21816468.

It is an arithmetic number, because the mean of its divisors is an integer number (169244010).

Almost surely, 2^20441592000 is an apocalyptic number.

20441592000 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 20441592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37910658240).

20441592000 is an abundant number, since it is smaller than the sum of its proper divisors (55379724480).

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

20441592000 is a wasteful number, since it uses less digits than its factorization.

20441592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20441592000 in words is "twenty billion, four hundred forty-one million, five hundred ninety-two thousand".