4921966000 has 160 divisors (see below), whose sum is σ = 13667696640. Its totient is φ = 1679328000.

The previous prime is 4921965989. The next prime is 4921966001. The reversal of 4921966000 is 6691294.

It is not an unprimeable number, because it can be changed into a prime (4921966001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3345265 + ... + 3346735.

It is an arithmetic number, because the mean of its divisors is an integer number (85423104).

Almost surely, 2^4921966000 is an apocalyptic number.

4921966000 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 4921966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833848320).

4921966000 is an abundant number, since it is smaller than the sum of its proper divisors (8745730640).

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

4921966000 is a wasteful number, since it uses less digits than its factorization.

4921966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 4921966000 is about 70156.7245529607. The cubic root of 4921966000 is about 1701.0335122657.

It can be divided in two parts, 4921 and 966000, that added together give a triangular number (970921 = T₁₃₉₃).

The spelling of 4921966000 in words is "four billion, nine hundred twenty-one million, nine hundred sixty-six thousand".