4635894838120 has 256 divisors, whose sum is σ = 13605665955840. Its totient is φ = 1379595829248.

The previous prime is 4635894838111. The next prime is 4635894838123. The reversal of 4635894838120 is 218384985364.

It is a super-2 number, since 2×4635894838120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4635894838123) 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, 67600569 + ... + 67669111.

It is an arithmetic number, because the mean of its divisors is an integer number (53147132640).

Almost surely, 2^{4635894838120} is an apocalyptic number.

4635894838120 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 4635894838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802832977920).

4635894838120 is an abundant number, since it is smaller than the sum of its proper divisors (8969771117720).

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

4635894838120 is a wasteful number, since it uses less digits than its factorization.

4635894838120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69684 (or 69680 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 4635894838120 in words is "four trillion, six hundred thirty-five billion, eight hundred ninety-four million, eight hundred thirty-eight thousand, one hundred twenty".