40055409900 has 288 divisors, whose sum is σ = 142178400000. Its totient is φ = 9592819200.

The previous prime is 40055409887. The next prime is 40055409929. The reversal of 40055409900 is 990455004.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2456976 + ... + 2473224.

It is an arithmetic number, because the mean of its divisors is an integer number (493675000).

Almost surely, 2^40055409900 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 40055409900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200000).

40055409900 is an abundant number, since it is smaller than the sum of its proper divisors (102122990100).

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

40055409900 is a wasteful number, since it uses less digits than its factorization.

40055409900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 40055409900 in words is "forty billion, fifty-five million, four hundred nine thousand, nine hundred".