4440200402016 has 144 divisors (see below), whose sum is σ = 13177909495296. Its totient is φ = 1415490709248.

The previous prime is 4440200402009. The next prime is 4440200402063. The reversal of 4440200402016 is 6102040020444.

It is a happy number.

4440200402016 is a `hidden beast` number, since 4 + 4 + 40 + 200 + 402 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4440200402016² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44350671 + ... + 44450673.

It is an arithmetic number, because the mean of its divisors is an integer number (91513260384).

Almost surely, 2^{4440200402016} is an apocalyptic number.

4440200402016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440200402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588954747648).

4440200402016 is an abundant number, since it is smaller than the sum of its proper divisors (8737709093280).

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

4440200402016 is a wasteful number, since it uses less digits than its factorization.

4440200402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106745 (or 106734 counting only the distinct ones).

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

The spelling of 4440200402016 in words is "four trillion, four hundred forty billion, two hundred million, four hundred two thousand, sixteen".