40001709816 has 256 divisors, whose sum is σ = 119771136000. Its totient is φ = 12341790720.

The previous prime is 40001709791. The next prime is 40001709827. The reversal of 40001709816 is 61890710004.

40001709816 is a `hidden beast` number, since 400 + 0 + 170 + 9 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21941881 + ... + 21943703.

It is an arithmetic number, because the mean of its divisors is an integer number (467856000).

Almost surely, 2^40001709816 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 40001709816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59885568000).

40001709816 is an abundant number, since it is smaller than the sum of its proper divisors (79769426184).

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

40001709816 is a wasteful number, since it uses less digits than its factorization.

40001709816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 40001709816 in words is "forty billion, one million, seven hundred nine thousand, eight hundred sixteen".