40845905100 has 1728 divisors, whose sum is σ = 191507742720. Its totient is φ = 7315660800.

The previous prime is 40845905099. The next prime is 40845905173. The reversal of 40845905100 is 150954804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 321621237 + ... + 321621363.

It is an arithmetic number, because the mean of its divisors is an integer number (110826240).

Almost surely, 2^40845905100 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 40845905100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95753871360).

40845905100 is an abundant number, since it is smaller than the sum of its proper divisors (150661837620).

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

40845905100 is a wasteful number, since it uses less digits than its factorization.

40845905100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 40845905100 in words is "forty billion, eight hundred forty-five million, nine hundred five thousand, one hundred".