40201854016 has 63 divisors (see below), whose sum is σ = 81144849013. Its totient is φ = 19761674240.

The previous prime is 40201854013. The next prime is 40201854023. The reversal of 40201854016 is 61045810204.

The square root of 40201854016 is 200504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16332840000 + 23869014016 = 127800^2 + 154496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40201854013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113886096 + ... + 113886448.

Almost surely, 2^40201854016 is an apocalyptic number.

40201854016 is the 200504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40201854016

40201854016 is an abundant number, since it is smaller than the sum of its proper divisors (40942994997).

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

40201854016 is an frugal number, since it uses more digits than its factorization.

40201854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 40201854016 in words is "forty billion, two hundred one million, eight hundred fifty-four thousand, sixteen".