40001016 has 64 divisors (see below), whose sum is σ = 109687680. Its totient is φ = 12055680.

The previous prime is 40000993. The next prime is 40001021. The reversal of 40001016 is 61010004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40000992 and 40001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72855 + ... + 73401.

It is an arithmetic number, because the mean of its divisors is an integer number (1713870).

Almost surely, 2^40001016 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 40001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54843840).

40001016 is an abundant number, since it is smaller than the sum of its proper divisors (69686664).

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

40001016 is a wasteful number, since it uses less digits than its factorization.

40001016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 40001016 is about 6324.6356416793. The cubic root of 40001016 is about 341.9980848701.

The spelling of 40001016 in words is "forty million, one thousand, sixteen".