4988768747040 has 576 divisors, whose sum is σ = 20433897993600. Its totient is φ = 1094937772032.

The previous prime is 4988768747029. The next prime is 4988768747041. The reversal of 4988768747040 is 407478678894.

4988768747040 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 76 + 87 + 470 + 4 + 0 = 666.

It is a super-2 number, since 2×4988768747040² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4988768747040.

It is not an unprimeable number, because it can be changed into a prime (4988768747041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5634031 + ... + 6459089.

It is an arithmetic number, because the mean of its divisors is an integer number (35475517350).

Almost surely, 2^{4988768747040} is an apocalyptic number.

4988768747040 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 4988768747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10216948996800).

4988768747040 is an abundant number, since it is smaller than the sum of its proper divisors (15445129246560).

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

4988768747040 is a wasteful number, since it uses less digits than its factorization.

4988768747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825129 (or 825118 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 4988768747040 in words is "four trillion, nine hundred eighty-eight billion, seven hundred sixty-eight million, seven hundred forty-seven thousand, forty".