40018736016 has 320 divisors, whose sum is σ = 138884761600. Its totient is φ = 10777536000.

The previous prime is 40018736011. The next prime is 40018736027. The reversal of 40018736016 is 61063781004.

40018736016 is a `hidden beast` number, since 40 + 0 + 1 + 8 + 7 + 3 + 601 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40018736011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12121566 + ... + 12124866.

It is an arithmetic number, because the mean of its divisors is an integer number (434014880).

Almost surely, 2^40018736016 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 40018736016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69442380800).

40018736016 is an abundant number, since it is smaller than the sum of its proper divisors (98866025584).

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

40018736016 is a wasteful number, since it uses less digits than its factorization.

40018736016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40018736016 in words is "forty billion, eighteen million, seven hundred thirty-six thousand, sixteen".