4825657583040 has 896 divisors, whose sum is σ = 18485510400000. Its totient is φ = 1043422248960.

The previous prime is 4825657583029. The next prime is 4825657583053. The reversal of 4825657583040 is 403857565284.

It is a super-2 number, since 2×4825657583040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3863616336 + ... + 3863617584.

It is an arithmetic number, because the mean of its divisors is an integer number (20631150000).

Almost surely, 2^{4825657583040} is an apocalyptic number.

4825657583040 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 4825657583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9242755200000).

4825657583040 is an abundant number, since it is smaller than the sum of its proper divisors (13659852816960).

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

4825657583040 is a wasteful number, since it uses less digits than its factorization.

4825657583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 4825657583040 in words is "four trillion, eight hundred twenty-five billion, six hundred fifty-seven million, five hundred eighty-three thousand, forty".