40204538880 has 352 divisors, whose sum is σ = 141311779200. Its totient is φ = 9675079680.

The previous prime is 40204538851. The next prime is 40204538921. The reversal of 40204538880 is 8883540204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25174242 + ... + 25175838.

Almost surely, 2^40204538880 is an apocalyptic number.

40204538880 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 40204538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70655889600).

40204538880 is an abundant number, since it is smaller than the sum of its proper divisors (101107240320).

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

40204538880 is a wasteful number, since it uses less digits than its factorization.

40204538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 40204538880 in words is "forty billion, two hundred four million, five hundred thirty-eight thousand, eight hundred eighty".