40913685120 has 1024 divisors, whose sum is σ = 175297167360. Its totient is φ = 7856455680.

The previous prime is 40913685031. The next prime is 40913685167. The reversal of 40913685120 is 2158631904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183469329 + ... + 183469551.

It is an arithmetic number, because the mean of its divisors is an integer number (171188640).

Almost surely, 2^40913685120 is an apocalyptic number.

40913685120 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 40913685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87648583680).

40913685120 is an abundant number, since it is smaller than the sum of its proper divisors (134383482240).

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

40913685120 is a wasteful number, since it uses less digits than its factorization.

40913685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 40913685120 in words is "forty billion, nine hundred thirteen million, six hundred eighty-five thousand, one hundred twenty".