4862131920 has 800 divisors, whose sum is σ = 19834087680. Its totient is φ = 1094860800.

The previous prime is 4862131913. The next prime is 4862131933. The reversal of 4862131920 is 291312684.

4862131920 is a `hidden beast` number, since 4 + 8 + 621 + 3 + 1 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48139870 + ... + 48139970.

Almost surely, 2^4862131920 is an apocalyptic number.

4862131920 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 4862131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917043840).

4862131920 is an abundant number, since it is smaller than the sum of its proper divisors (14971955760).

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

4862131920 is a wasteful number, since it uses less digits than its factorization.

4862131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4862131920 is about 69728.9890934897. The cubic root of 4862131920 is about 1694.1124964611.

The spelling of 4862131920 in words is "four billion, eight hundred sixty-two million, one hundred thirty-one thousand, nine hundred twenty".