4977124425 has 288 divisors, whose sum is σ = 11829242880. Its totient is φ = 1940889600.

The previous prime is 4977124421. The next prime is 4977124433. The reversal of 4977124425 is 5244217794.

It is not a de Polignac number, because 4977124425 - 2² = 4977124421 is a prime.

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 (4977124421) 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 287 ways as a sum of consecutive naturals, for example, 27497835 + ... + 27498015.

It is an arithmetic number, because the mean of its divisors is an integer number (41073760).

Almost surely, 2^4977124425 is an apocalyptic number.

4977124425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4977124425 is an abundant number, since it is smaller than the sum of its proper divisors (6852118455).

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

4977124425 is a wasteful number, since it uses less digits than its factorization.

4977124425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4977124425 is about 70548.7379405188. The cubic root of 4977124425 is about 1707.3641807069.

It can be divided in two parts, 4977 and 124425, that multiplied together give a square (619263225 = 24885²).

The spelling of 4977124425 in words is "four billion, nine hundred seventy-seven million, one hundred twenty-four thousand, four hundred twenty-five".