40026309120 has 240 divisors, whose sum is σ = 158426199360. Its totient is φ = 9148833792.

The previous prime is 40026309109. The next prime is 40026309137. The reversal of 40026309120 is 2190362004.

40026309120 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 630 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37191 + ... + 285369.

It is an arithmetic number, because the mean of its divisors is an integer number (660109164).

Almost surely, 2^40026309120 is an apocalyptic number.

40026309120 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 40026309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213099680).

40026309120 is an abundant number, since it is smaller than the sum of its proper divisors (118399890240).

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

40026309120 is a wasteful number, since it uses less digits than its factorization.

40026309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248215 (or 248196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 40026309120 in words is "forty billion, twenty-six million, three hundred nine thousand, one hundred twenty".