4002048162 has 128 divisors (see below), whose sum is σ = 10738667520. Its totient is φ = 1093534992.

The previous prime is 4002048157. The next prime is 4002048181. The reversal of 4002048162 is 2618402004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701373 + ... + 707055.

It is an arithmetic number, because the mean of its divisors is an integer number (83895840).

Almost surely, 2^4002048162 is an apocalyptic number.

4002048162 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002048162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369333760).

4002048162 is an abundant number, since it is smaller than the sum of its proper divisors (6736619358).

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

4002048162 is an equidigital number, since it uses as much as digits as its factorization.

4002048162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5718 counting only the distinct ones).

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

The square root of 4002048162 is about 63261.7432734824. The cubic root of 4002048162 is about 1587.6719436137.

The spelling of 4002048162 in words is "four billion, two million, forty-eight thousand, one hundred sixty-two".