40675910688 has 576 divisors, whose sum is σ = 142847857152. Its totient is φ = 10729635840.

The previous prime is 40675910663. The next prime is 40675910699. The reversal of 40675910688 is 88601957604.

40675910688 is a `hidden beast` number, since 40 + 6 + 7 + 591 + 0 + 6 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206476606 + ... + 206476802.

It is an arithmetic number, because the mean of its divisors is an integer number (247999752).

Almost surely, 2^40675910688 is an apocalyptic number.

40675910688 is a gapful number since it is divisible by the number (48) 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 40675910688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71423928576).

40675910688 is an abundant number, since it is smaller than the sum of its proper divisors (102171946464).

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

40675910688 is a wasteful number, since it uses less digits than its factorization.

40675910688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 40675910688 in words is "forty billion, six hundred seventy-five million, nine hundred ten thousand, six hundred eighty-eight".