40204433544100 has 576 divisors, whose sum is σ = 107268302389248. Its totient is φ = 12788886528000.

The previous prime is 40204433544061. The next prime is 40204433544169. The reversal of 40204433544100 is 144533440204.

40204433544100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46912990872 + ... + 46912991728.

It is an arithmetic number, because the mean of its divisors is an integer number (186229691648).

Almost surely, 2^{40204433544100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204433544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53634151194624).

40204433544100 is an abundant number, since it is smaller than the sum of its proper divisors (67063868845148).

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

40204433544100 is a wasteful number, since it uses less digits than its factorization.

40204433544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 40204433544100 its reverse (144533440204), we get a palindrome (40348966984304).

The spelling of 40204433544100 in words is "forty trillion, two hundred four billion, four hundred thirty-three million, five hundred forty-four thousand, one hundred".