4402165635420 has 384 divisors, whose sum is σ = 14932184924160. Its totient is φ = 946593838080.

The previous prime is 4402165635419. The next prime is 4402165635431. The reversal of 4402165635420 is 245365612044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 995287329 + ... + 995291751.

It is an arithmetic number, because the mean of its divisors is an integer number (38885898240).

Almost surely, 2^{4402165635420} 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 4402165635420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466092462080).

4402165635420 is an abundant number, since it is smaller than the sum of its proper divisors (10530019288740).

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

4402165635420 is a wasteful number, since it uses less digits than its factorization.

4402165635420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 4402165635420 in words is "four trillion, four hundred two billion, one hundred sixty-five million, six hundred thirty-five thousand, four hundred twenty".