4941181440 has 720 divisors, whose sum is σ = 19625493888. Its totient is φ = 1190412288.

The previous prime is 4941181429. The next prime is 4941181457. The reversal of 4941181440 is 441811494.

4941181440 is a `hidden beast` number, since 494 + 118 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4941181395 and 4941181404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105131497 + ... + 105131543.

Almost surely, 2^4941181440 is an apocalyptic number.

4941181440 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 4941181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812746944).

4941181440 is an abundant number, since it is smaller than the sum of its proper divisors (14684312448).

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

4941181440 is an equidigital number, since it uses as much as digits as its factorization.

4941181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4941181440 is about 70293.5376830616. The cubic root of 4941181440 is about 1703.2442591976.

The spelling of 4941181440 in words is "four billion, nine hundred forty-one million, one hundred eighty-one thousand, four hundred forty".