40688430 has 64 divisors (see below), whose sum is σ = 102463488. Its totient is φ = 10327680.

The previous prime is 40688423. The next prime is 40688437. The reversal of 40688430 is 3488604.

It is an interprime number because it is at equal distance from previous prime (40688423) and next prime (40688437).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40688391 and 40688400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40688437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61984 + ... + 62636.

It is an arithmetic number, because the mean of its divisors is an integer number (1600992).

Almost surely, 2^40688430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40688430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51231744).

40688430 is an abundant number, since it is smaller than the sum of its proper divisors (61775058).

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

40688430 is a wasteful number, since it uses less digits than its factorization.

40688430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40688430 is about 6378.7483098175. The cubic root of 40688430 is about 343.9460378218.

The spelling of 40688430 in words is "forty million, six hundred eighty-eight thousand, four hundred thirty".