4968623040 has 112 divisors (see below), whose sum is σ = 15813133728. Its totient is φ = 1321795584.

The previous prime is 4968623021. The next prime is 4968623059. The reversal of 4968623040 is 403268694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4968623021) and next prime (4968623059).

It is a junction number, because it is equal to n+sod(n) for n = 4968622983 and 4968623001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 409704 + ... + 421656.

It is an arithmetic number, because the mean of its divisors is an integer number (141188694).

Almost surely, 2^4968623040 is an apocalyptic number.

4968623040 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 4968623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906566864).

4968623040 is an abundant number, since it is smaller than the sum of its proper divisors (10844510688).

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

4968623040 is a wasteful number, since it uses less digits than its factorization.

4968623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406 (or 12396 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4968623040 is about 70488.4603321707. The cubic root of 4968623040 is about 1706.3915151581.

The spelling of 4968623040 in words is "four billion, nine hundred sixty-eight million, six hundred twenty-three thousand, forty".