4921741440 has 896 divisors, whose sum is σ = 22154497920. Its totient is φ = 1015234560.

The previous prime is 4921741403. The next prime is 4921741459. The reversal of 4921741440 is 441471294.

4921741440 is a `hidden beast` number, since 49 + 2 + 174 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 4921741395 and 4921741404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35925052 + ... + 35925188.

Almost surely, 2^4921741440 is an apocalyptic number.

4921741440 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 4921741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077248960).

4921741440 is an abundant number, since it is smaller than the sum of its proper divisors (17232756480).

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

4921741440 is a wasteful number, since it uses less digits than its factorization.

4921741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4921741440 is about 70155.1241179146. The cubic root of 4921741440 is about 1701.0076425289.

The spelling of 4921741440 in words is "four billion, nine hundred twenty-one million, seven hundred forty-one thousand, four hundred forty".