40501017216 has 384 divisors, whose sum is σ = 134424576000. Its totient is φ = 11584235520.

The previous prime is 40501017199. The next prime is 40501017217. The reversal of 40501017216 is 61271010504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 40501017216.

It is not an unprimeable number, because it can be changed into a prime (40501017217) 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, 23024145 + ... + 23025903.

It is an arithmetic number, because the mean of its divisors is an integer number (350064000).

Almost surely, 2^40501017216 is an apocalyptic number.

40501017216 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 40501017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67212288000).

40501017216 is an abundant number, since it is smaller than the sum of its proper divisors (93923558784).

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

40501017216 is a wasteful number, since it uses less digits than its factorization.

40501017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 40501017216 in words is "forty billion, five hundred one million, seventeen thousand, two hundred sixteen".