4938814083840 has 3456 divisors, whose sum is σ = 22607830425600. Its totient is φ = 909352894464.

The previous prime is 4938814083811. The next prime is 4938814083893. The reversal of 4938814083840 is 483804188394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 105081150697 + ... + 105081150743.

It is an arithmetic number, because the mean of its divisors is an integer number (6541617600).

Almost surely, 2^{4938814083840} is an apocalyptic number.

4938814083840 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 4938814083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11303915212800).

4938814083840 is an abundant number, since it is smaller than the sum of its proper divisors (17669016341760).

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

4938814083840 is a wasteful number, since it uses less digits than its factorization.

4938814083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 4938814083840 in words is "four trillion, nine hundred thirty-eight billion, eight hundred fourteen million, eighty-three thousand, eight hundred forty".