4046785920 has 192 divisors, whose sum is σ = 14492172240. Its totient is φ = 1079101440.

The previous prime is 4046785901. The next prime is 4046785921. The reversal of 4046785920 is 295876404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4046785921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142510 + ... + 168530.

Almost surely, 2^4046785920 is an apocalyptic number.

4046785920 is a gapful number since it is divisible by the number (40) 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 4046785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246086120).

4046785920 is an abundant number, since it is smaller than the sum of its proper divisors (10445386320).

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

4046785920 is an equidigital number, since it uses as much as digits as its factorization.

4046785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26055 (or 26031 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4046785920 is about 63614.3530973946. The cubic root of 4046785920 is about 1593.5660792606.

The spelling of 4046785920 in words is "four billion, forty-six million, seven hundred eighty-five thousand, nine hundred twenty".