20040401104200 has 144 divisors (see below), whose sum is σ = 67315856570820. Its totient is φ = 5343034245120.

The previous prime is 20040401104193. The next prime is 20040401104211. The reversal of 20040401104200 is 240110404002.

20040401104200 is a `hidden beast` number, since 20 + 0 + 40 + 401 + 1 + 0 + 4 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13072606747236 + 6967794356964 = 3615606^2 + 2639658^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7872484 + ... + 10102316.

Almost surely, 2^{20040401104200} is an apocalyptic number.

20040401104200 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 20040401104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33657928285410).

20040401104200 is an abundant number, since it is smaller than the sum of its proper divisors (47275455466620).

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

20040401104200 is a wasteful number, since it uses less digits than its factorization.

20040401104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234848 (or 2234836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20040401104200 its reverse (240110404002), we get a palindrome (20280511508202).

The spelling of 20040401104200 in words is "twenty trillion, forty billion, four hundred one million, one hundred four thousand, two hundred".