4981105635072 has 144 divisors (see below), whose sum is σ = 15157763991552. Its totient is φ = 1422524805120.

The previous prime is 4981105635061. The next prime is 4981105635113. The reversal of 4981105635072 is 2705365011894.

It is a super-2 number, since 2×4981105635072² (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 15 ways as a sum of consecutive naturals, for example, 11654922 + ... + 12074742.

It is a 1-persistent number, because it is pandigital, but 2⋅4981105635072 = 9962211270144 is not.

Almost surely, 2^{4981105635072} is an apocalyptic number.

4981105635072 is a gapful number since it is divisible by the number (42) 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 4981105635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578881995776).

4981105635072 is an abundant number, since it is smaller than the sum of its proper divisors (10176658356480).

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

4981105635072 is a wasteful number, since it uses less digits than its factorization.

4981105635072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422054 (or 422040 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 4981105635072 in words is "four trillion, nine hundred eighty-one billion, one hundred five million, six hundred thirty-five thousand, seventy-two".