40966709760 has 120 divisors (see below), whose sum is σ = 141879317580. Its totient is φ = 10924449792.

The previous prime is 40966709759. The next prime is 40966709821. The reversal of 40966709760 is 6790766904.

It can be written as a sum of positive squares in 2 ways, for example, as 38900461824 + 2066247936 = 197232^2 + 45456^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 40966709697 and 40966709706.

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 11 ways as a sum of consecutive naturals, for example, 865995 + ... + 912074.

Almost surely, 2^40966709760 is an apocalyptic number.

40966709760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40966709760 is an abundant number, since it is smaller than the sum of its proper divisors (100912607820).

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

40966709760 is a wasteful number, since it uses less digits than its factorization.

40966709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778098 (or 1778079 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 40966709760 in words is "forty billion, nine hundred sixty-six million, seven hundred nine thousand, seven hundred sixty".