40106305120 has 96 divisors (see below), whose sum is σ = 109770631488. Its totient is φ = 13562339328.

The previous prime is 40106305093. The next prime is 40106305121. The reversal of 40106305120 is 2150360104.

It is a junction number, because it is equal to n+sod(n) for n = 40106305091 and 40106305100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106305121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163509 + ... + 327028.

It is an arithmetic number, because the mean of its divisors is an integer number (1143444078).

Almost surely, 2^40106305120 is an apocalyptic number.

40106305120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40106305120 is an abundant number, since it is smaller than the sum of its proper divisors (69664326368).

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

40106305120 is a wasteful number, since it uses less digits than its factorization.

40106305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490632 (or 490624 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 40106305120 its reverse (2150360104), we get a palindrome (42256665224).

The spelling of 40106305120 in words is "forty billion, one hundred six million, three hundred five thousand, one hundred twenty".