4045216164 has 96 divisors (see below), whose sum is σ = 11254505472. Its totient is φ = 1116480000.

The previous prime is 4045216157. The next prime is 4045216183. The reversal of 4045216164 is 4616125404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40489 + ... + 98639.

It is an arithmetic number, because the mean of its divisors is an integer number (117234432).

Almost surely, 2^4045216164 is an apocalyptic number.

4045216164 is a gapful number since it is divisible by the number (44) 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 4045216164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627252736).

4045216164 is an abundant number, since it is smaller than the sum of its proper divisors (7209289308).

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

4045216164 is a wasteful number, since it uses less digits than its factorization.

4045216164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58217 (or 58215 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4045216164 is about 63602.0138360414. The cubic root of 4045216164 is about 1593.3600035023.

It can be divided in two parts, 40452 and 16164, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 4045216164 in words is "four billion, forty-five million, two hundred sixteen thousand, one hundred sixty-four".