20001044100400 has 240 divisors, whose sum is σ = 55576924099200. Its totient is φ = 6840737280000.

The previous prime is 20001044100377. The next prime is 20001044100451. The reversal of 20001044100400 is 400144010002.

It is a super-2 number, since 2×20001044100400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10759800 + ... + 12481000.

It is an arithmetic number, because the mean of its divisors is an integer number (231570517080).

Almost surely, 2^{20001044100400} is an apocalyptic number.

20001044100400 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 20001044100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27788462049600).

20001044100400 is an abundant number, since it is smaller than the sum of its proper divisors (35575879998800).

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

20001044100400 is a wasteful number, since it uses less digits than its factorization.

20001044100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721388 (or 1721377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20001044100400 its reverse (400144010002), we get a palindrome (20401188110402).

The spelling of 20001044100400 in words is "twenty trillion, one billion, forty-four million, one hundred thousand, four hundred".