4901941800 has 384 divisors, whose sum is σ = 19546963200. Its totient is φ = 1119744000.

The previous prime is 4901941783. The next prime is 4901941801. The reversal of 4901941800 is 81491094.

4901941800 is a `hidden beast` number, since 490 + 1 + 94 + 1 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4901941801) 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 95 ways as a sum of consecutive naturals, for example, 3061000 + ... + 3062600.

It is an arithmetic number, because the mean of its divisors is an integer number (50903550).

Almost surely, 2^4901941800 is an apocalyptic number.

4901941800 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 4901941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773481600).

4901941800 is an abundant number, since it is smaller than the sum of its proper divisors (14645021400).

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

4901941800 is a wasteful number, since it uses less digits than its factorization.

4901941800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4901941800 is about 70013.8686261515. The cubic root of 4901941800 is about 1698.7235862741.

The spelling of 4901941800 in words is "four billion, nine hundred one million, nine hundred forty-one thousand, eight hundred".