40204410000 has 200 divisors, whose sum is σ = 130181578560. Its totient is φ = 10688448000.

The previous prime is 40204409957. The next prime is 40204410017. The reversal of 40204410000 is 1440204.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10768134 + ... + 10771866.

Almost surely, 2^40204410000 is an apocalyptic number.

40204410000 is a gapful number since it is divisible by the number (40) 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 40204410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65090789280).

40204410000 is an abundant number, since it is smaller than the sum of its proper divisors (89977168560).

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

40204410000 is a wasteful number, since it uses less digits than its factorization.

40204410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40204410000 its reverse (1440204), we get a palindrome (40205850204).

The spelling of 40204410000 in words is "forty billion, two hundred four million, four hundred ten thousand".