40004200404216 has 192 divisors, whose sum is σ = 113042844794880. Its totient is φ = 13253531195520.

The previous prime is 40004200404193. The next prime is 40004200404227. The reversal of 40004200404216 is 61240400240004.

It is a happy number.

40004200404216 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 42 + 0 + 0 + 404 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40004200404216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379468585 + ... + 379573991.

It is an arithmetic number, because the mean of its divisors is an integer number (588764816640).

Almost surely, 2^{40004200404216} 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 40004200404216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56521422397440).

40004200404216 is an abundant number, since it is smaller than the sum of its proper divisors (73038644390664).

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

40004200404216 is a wasteful number, since it uses less digits than its factorization.

40004200404216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106616 (or 106600 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 40004200404216 in words is "forty trillion, four billion, two hundred million, four hundred four thousand, two hundred sixteen".