4990719412224 has 1728 divisors, whose sum is σ = 18985219344000. Its totient is φ = 1308625403904.

The previous prime is 4990719412219. The next prime is 4990719412229. The reversal of 4990719412224 is 4222149170994.

4990719412224 is a `hidden beast` number, since 499 + 0 + 7 + 1 + 9 + 4 + 122 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (4990719412219) and next prime (4990719412229).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4990719412229) 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 143 ways as a sum of consecutive naturals, for example, 28848089002 + ... + 28848089174.

It is an arithmetic number, because the mean of its divisors is an integer number (10986816750).

Almost surely, 2^{4990719412224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4990719412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492609672000).

4990719412224 is an abundant number, since it is smaller than the sum of its proper divisors (13994499931776).

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

4990719412224 is an equidigital number, since it uses as much as digits as its factorization.

4990719412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4990719412224 in words is "four trillion, nine hundred ninety billion, seven hundred nineteen million, four hundred twelve thousand, two hundred twenty-four".