4980181801920 has 1344 divisors, whose sum is σ = 18908536711680. Its totient is φ = 1100108169216.

The previous prime is 4980181801897. The next prime is 4980181801967. The reversal of 4980181801920 is 291081810894.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16222090407 + ... + 16222090713.

It is an arithmetic number, because the mean of its divisors is an integer number (14068851720).

Almost surely, 2^{4980181801920} is an apocalyptic number.

4980181801920 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 4980181801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454268355840).

4980181801920 is an abundant number, since it is smaller than the sum of its proper divisors (13928354909760).

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

4980181801920 is a wasteful number, since it uses less digits than its factorization.

4980181801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 4980181801920 in words is "four trillion, nine hundred eighty billion, one hundred eighty-one million, eight hundred one thousand, nine hundred twenty".