20738441304 has 384 divisors, whose sum is σ = 70896384000. Its totient is φ = 5452876800.

The previous prime is 20738441299. The next prime is 20738441323. The reversal of 20738441304 is 40314483702.

20738441304 is a `hidden beast` number, since 207 + 3 + 8 + 441 + 3 + 0 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19731579 + ... + 19732629.

It is an arithmetic number, because the mean of its divisors is an integer number (184626000).

Almost surely, 2^20738441304 is an apocalyptic number.

20738441304 is a gapful number since it is divisible by the number (24) 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 20738441304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448192000).

20738441304 is an abundant number, since it is smaller than the sum of its proper divisors (50157942696).

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

20738441304 is a wasteful number, since it uses less digits than its factorization.

20738441304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20738441304 in words is "twenty billion, seven hundred thirty-eight million, four hundred forty-one thousand, three hundred four".