4111946020 has 144 divisors (see below), whose sum is σ = 10986361344. Its totient is φ = 1258848000.

The previous prime is 4111945991. The next prime is 4111946089. The reversal of 4111946020 is 206491114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4111946020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747845 + ... + 1750195.

It is an arithmetic number, because the mean of its divisors is an integer number (76294176).

Almost surely, 2^4111946020 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 4111946020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493180672).

4111946020 is an abundant number, since it is smaller than the sum of its proper divisors (6874415324).

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

4111946020 is a wasteful number, since it uses less digits than its factorization.

4111946020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4111946020 is about 64124.4572686584. The cubic root of 4111946020 is about 1602.0736160992.

It can be divided in two parts, 4111 and 946020, that added together give a triangular number (950131 = T₁₃₇₈).

The spelling of 4111946020 in words is "four billion, one hundred eleven million, nine hundred forty-six thousand, twenty".