40107216 has 80 divisors (see below), whose sum is σ = 114528384. Its totient is φ = 12029952.

The previous prime is 40107209. The next prime is 40107217. The reversal of 40107216 is 61270104.

It is a junction number, because it is equal to n+sod(n) for n = 40107192 and 40107201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17700 + ... + 19836.

Almost surely, 2^40107216 is an apocalyptic number.

40107216 is a gapful number since it is divisible by the number (46) 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 40107216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57264192).

40107216 is an abundant number, since it is smaller than the sum of its proper divisors (74421168).

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

40107216 is a wasteful number, since it uses less digits than its factorization.

40107216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 40107216 is about 6333.0258170956. The cubic root of 40107216 is about 342.3004780341.

The spelling of 40107216 in words is "forty million, one hundred seven thousand, two hundred sixteen".