4756110213040 has 160 divisors (see below), whose sum is σ = 11921736960000. Its totient is φ = 1758904740864.

The previous prime is 4756110212981. The next prime is 4756110213091. The reversal of 4756110213040 is 403120116574.

It is a junction number, because it is equal to n+sod(n) for n = 4756110212987 and 4756110213005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24837181 + ... + 25027939.

It is an arithmetic number, because the mean of its divisors is an integer number (74510856000).

Almost surely, 2^{4756110213040} is an apocalyptic number.

4756110213040 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 4756110213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960868480000).

4756110213040 is an abundant number, since it is smaller than the sum of its proper divisors (7165626746960).

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

4756110213040 is a wasteful number, since it uses less digits than its factorization.

4756110213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191187 (or 191181 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 4756110213040 in words is "four trillion, seven hundred fifty-six billion, one hundred ten million, two hundred thirteen thousand, forty".