4931976420 has 576 divisors, whose sum is σ = 19121356800. Its totient is φ = 1024192512.

The previous prime is 4931976419. The next prime is 4931976421. The reversal of 4931976420 is 246791394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4931976419) and next prime (4931976421).

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

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

It is not an unprimeable number, because it can be changed into a prime (4931976421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38834397 + ... + 38834523.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 2^4931976420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4931976420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9560678400).

4931976420 is an abundant number, since it is smaller than the sum of its proper divisors (14189380380).

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

4931976420 is a wasteful number, since it uses less digits than its factorization.

4931976420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4931976420 is about 70228.0315828373. The cubic root of 4931976420 is about 1702.1859331265.

The spelling of 4931976420 in words is "four billion, nine hundred thirty-one million, nine hundred seventy-six thousand, four hundred twenty".