4919016752640 has 960 divisors, whose sum is σ = 18644219193600. Its totient is φ = 1194218422272.

The previous prime is 4919016752623. The next prime is 4919016752647. The reversal of 4919016752640 is 462576109194.

4919016752640 is a `hidden beast` number, since 4 + 9 + 19 + 0 + 1 + 67 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4919016752647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1344359131 + ... + 1344362789.

It is an arithmetic number, because the mean of its divisors is an integer number (19421061660).

Almost surely, 2^{4919016752640} is an apocalyptic number.

4919016752640 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 4919016752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322109596800).

4919016752640 is an abundant number, since it is smaller than the sum of its proper divisors (13725202440960).

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

4919016752640 is a wasteful number, since it uses less digits than its factorization.

4919016752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4919016752640 in words is "four trillion, nine hundred nineteen billion, sixteen million, seven hundred fifty-two thousand, six hundred forty".