4945536858240 has 768 divisors, whose sum is σ = 19390897843200. Its totient is φ = 1160187494400.

The previous prime is 4945536858179. The next prime is 4945536858259. The reversal of 4945536858240 is 428586355494.

4945536858240 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 5 + 3 + 6 + 8 + 582 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237652956 + ... + 237673764.

It is an arithmetic number, because the mean of its divisors is an integer number (25248564900).

Almost surely, 2^{4945536858240} is an apocalyptic number.

4945536858240 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 4945536858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695448921600).

4945536858240 is an abundant number, since it is smaller than the sum of its proper divisors (14445360984960).

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

4945536858240 is a wasteful number, since it uses less digits than its factorization.

4945536858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20898 (or 20861 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 4945536858240 in words is "four trillion, nine hundred forty-five billion, five hundred thirty-six million, eight hundred fifty-eight thousand, two hundred forty".