4000216422144 has 144 divisors (see below), whose sum is σ = 10992884474880. Its totient is φ = 1290035159040.

The previous prime is 4000216422143. The next prime is 4000216422161. The reversal of 4000216422144 is 4412246120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000216422143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93948892 + ... + 93991460.

It is an arithmetic number, because the mean of its divisors is an integer number (76339475520).

Almost surely, 2^{4000216422144} 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 4000216422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496442237440).

4000216422144 is an abundant number, since it is smaller than the sum of its proper divisors (6992668052736).

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

4000216422144 is a wasteful number, since it uses less digits than its factorization.

4000216422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46566 (or 46552 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 4000216422144 in words is "four trillion, two hundred sixteen million, four hundred twenty-two thousand, one hundred forty-four".