40311232416 has 960 divisors, whose sum is σ = 155728742400. Its totient is φ = 9943326720.

The previous prime is 40311232411. The next prime is 40311232421. The reversal of 40311232416 is 61423211304.

It is a happy number.

40311232416 is a `hidden beast` number, since 4 + 0 + 3 + 11 + 232 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (40311232411) and next prime (40311232421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40311232416.

It is not an unprimeable number, because it can be changed into a prime (40311232411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 270545110 + ... + 270545258.

It is an arithmetic number, because the mean of its divisors is an integer number (162217440).

Almost surely, 2^40311232416 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 40311232416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77864371200).

40311232416 is an abundant number, since it is smaller than the sum of its proper divisors (115417509984).

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

40311232416 is a wasteful number, since it uses less digits than its factorization.

40311232416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40311232416 in words is "forty billion, three hundred eleven million, two hundred thirty-two thousand, four hundred sixteen".