40311216 has 160 divisors (see below), whose sum is σ = 133920000. Its totient is φ = 11473920.

The previous prime is 40311211. The next prime is 40311239. The reversal of 40311216 is 61211304.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (40311211) 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, 80535 + ... + 81033.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^40311216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960000).

40311216 is an abundant number, since it is smaller than the sum of its proper divisors (93608784).

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

40311216 is a wasteful number, since it uses less digits than its factorization.

40311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40311216 is about 6349.1114338937. Note that the first 3 decimals coincide. The cubic root of 40311216 is about 342.8798520672.

The spelling of 40311216 in words is "forty million, three hundred eleven thousand, two hundred sixteen".