4682557440 has 576 divisors, whose sum is σ = 18398016000. Its totient is φ = 1091174400.

The previous prime is 4682557343. The next prime is 4682557447. The reversal of 4682557440 is 447552864.

It is a tau number, because it is divible by the number of its divisors (576).

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 (4682557447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31426486 + ... + 31426634.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^4682557440 is an apocalyptic number.

4682557440 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 4682557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199008000).

4682557440 is an abundant number, since it is smaller than the sum of its proper divisors (13715458560).

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

4682557440 is a wasteful number, since it uses less digits than its factorization.

4682557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4682557440 is about 68429.2148135575. The cubic root of 4682557440 is about 1672.9939527841.

The spelling of 4682557440 in words is "four billion, six hundred eighty-two million, five hundred fifty-seven thousand, four hundred forty".