40486680 has 192 divisors, whose sum is σ = 145847520. Its totient is φ = 9676800.

The previous prime is 40486679. The next prime is 40486681. The reversal of 40486680 is 8668404.

It is an interprime number because it is at equal distance from previous prime (40486679) and next prime (40486681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40486681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191775 + ... + 191985.

Almost surely, 2^40486680 is an apocalyptic number.

40486680 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 40486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72923760).

40486680 is an abundant number, since it is smaller than the sum of its proper divisors (105360840).

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

40486680 is a wasteful number, since it uses less digits than its factorization.

40486680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40486680 is about 6362.9144265816. The cubic root of 40486680 is about 343.3766202583.

The spelling of 40486680 in words is "forty million, four hundred eighty-six thousand, six hundred eighty".