20004333344400 has 240 divisors, whose sum is σ = 64324558679040. Its totient is φ = 5314201305600.

The previous prime is 20004333344363. The next prime is 20004333344419. The reversal of 20004333344400 is 444333340002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20004333344400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523887709 + ... + 523925891.

It is an arithmetic number, because the mean of its divisors is an integer number (268018994496).

Almost surely, 2^{20004333344400} is an apocalyptic number.

20004333344400 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 20004333344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32162279339520).

20004333344400 is an abundant number, since it is smaller than the sum of its proper divisors (44320225334640).

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

20004333344400 is a wasteful number, since it uses less digits than its factorization.

20004333344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39854 (or 39843 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 20004333344400 its reverse (444333340002), we get a palindrome (20448666684402).

The spelling of 20004333344400 in words is "twenty trillion, four billion, three hundred thirty-three million, three hundred forty-four thousand, four hundred".