4577257305140 has 192 divisors, whose sum is σ = 11011489961472. Its totient is φ = 1585221580800.

The previous prime is 4577257305139. The next prime is 4577257305149. The reversal of 4577257305140 is 415037527754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4577257305149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941626310 + ... + 941631170.

It is an arithmetic number, because the mean of its divisors is an integer number (57351510216).

Almost surely, 2^{4577257305140} 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 4577257305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505744980736).

4577257305140 is an abundant number, since it is smaller than the sum of its proper divisors (6434232656332).

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

4577257305140 is a wasteful number, since it uses less digits than its factorization.

4577257305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 50.

The spelling of 4577257305140 in words is "four trillion, five hundred seventy-seven billion, two hundred fifty-seven million, three hundred five thousand, one hundred forty".