4928077440 has 768 divisors, whose sum is σ = 20744156160. Its totient is φ = 1061683200.

The previous prime is 4928077423. The next prime is 4928077447. The reversal of 4928077440 is 447708294.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4928077447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25533984 + ... + 25534176.

It is an arithmetic number, because the mean of its divisors is an integer number (27010620).

Almost surely, 2^4928077440 is an apocalyptic number.

4928077440 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 4928077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372078080).

4928077440 is an abundant number, since it is smaller than the sum of its proper divisors (15816078720).

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

4928077440 is a wasteful number, since it uses less digits than its factorization.

4928077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4928077440 is about 70200.2666661602. The cubic root of 4928077440 is about 1701.7372598145.

The spelling of 4928077440 in words is "four billion, nine hundred twenty-eight million, seventy-seven thousand, four hundred forty".