4941931104 has 288 divisors, whose sum is σ = 15793989120. Its totient is φ = 1453132800.

The previous prime is 4941931069. The next prime is 4941931109. The reversal of 4941931104 is 4011391494.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4941931109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20677417 + ... + 20677655.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^4941931104 is an apocalyptic number.

4941931104 is a gapful number since it is divisible by the number (44) 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 4941931104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896994560).

4941931104 is an abundant number, since it is smaller than the sum of its proper divisors (10852058016).

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

4941931104 is a wasteful number, since it uses less digits than its factorization.

4941931104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4941931104 is about 70298.8698628932. The cubic root of 4941931104 is about 1703.3303921971.

The spelling of 4941931104 in words is "four billion, nine hundred forty-one million, nine hundred thirty-one thousand, one hundred four".