40220084016 has 120 divisors (see below), whose sum is σ = 128919764480. Its totient is φ = 11466499968.

The previous prime is 40220083999. The next prime is 40220084017. The reversal of 40220084016 is 61048002204.

40220084016 is a `hidden beast` number, since 402 + 200 + 8 + 40 + 16 = 666.

40220084016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40220084017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423615 + ... + 509793.

Almost surely, 2^40220084016 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 40220084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459882240).

40220084016 is an abundant number, since it is smaller than the sum of its proper divisors (88699680464).

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

40220084016 is a wasteful number, since it uses less digits than its factorization.

40220084016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86663 (or 86654 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40220084016 in words is "forty billion, two hundred twenty million, eighty-four thousand, sixteen".