40716000 has 384 divisors, whose sum is σ = 165110400. Its totient is φ = 9676800.

The previous prime is 40715999. The next prime is 40716001. The reversal of 40716000 is 61704.

It is an interprime number because it is at equal distance from previous prime (40715999) and next prime (40716001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40716001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403986 + ... + 1404014.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^40716000 is an apocalyptic number.

40716000 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 40716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

40716000 is an abundant number, since it is smaller than the sum of its proper divisors (124394400).

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

40716000 is a wasteful number, since it uses less digits than its factorization.

40716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40716000 is about 6380.9090261498. The cubic root of 40716000 is about 344.0237048745.

Adding to 40716000 its reverse (61704), we get a palindrome (40777704).

The spelling of 40716000 in words is "forty million, seven hundred sixteen thousand".