4961577104 has 40 divisors (see below), whose sum is σ = 10583221440. Its totient is φ = 2234563200.

The previous prime is 4961577031. The next prime is 4961577107. The reversal of 4961577104 is 4017751694.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4961577107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110132 + ... + 148499.

It is an arithmetic number, because the mean of its divisors is an integer number (264580536).

Almost surely, 2^4961577104 is an apocalyptic number.

4961577104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4961577104 is an abundant number, since it is smaller than the sum of its proper divisors (5621644336).

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

4961577104 is a wasteful number, since it uses less digits than its factorization.

4961577104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258759 (or 258753 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 4961577104 is about 70438.4632427483. The cubic root of 4961577104 is about 1705.5845301331.

The spelling of 4961577104 in words is "four billion, nine hundred sixty-one million, five hundred seventy-seven thousand, one hundred four".