40109804160 has 128 divisors (see below), whose sum is σ = 129468844800. Its totient is φ = 10560516096.

The previous prime is 40109804159. The next prime is 40109804177. The reversal of 40109804160 is 6140890104.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19462 + ... + 283898.

It is an arithmetic number, because the mean of its divisors is an integer number (1011475350).

Almost surely, 2^40109804160 is an apocalyptic number.

40109804160 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 40109804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64734422400).

40109804160 is an abundant number, since it is smaller than the sum of its proper divisors (89359040640).

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

40109804160 is a wasteful number, since it uses less digits than its factorization.

40109804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264538 (or 264526 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 40109804160 in words is "forty billion, one hundred nine million, eight hundred four thousand, one hundred sixty".