4938071040 has 660 divisors, whose sum is σ = 20668984776. Its totient is φ = 1128701952.

The previous prime is 4938071009. The next prime is 4938071113. The reversal of 4938071040 is 401708394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4938070986 and 4938071004.

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 59 ways as a sum of consecutive naturals, for example, 705438717 + ... + 705438723.

Almost surely, 2^4938071040 is an apocalyptic number.

4938071040 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 4938071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334492388).

4938071040 is an abundant number, since it is smaller than the sum of its proper divisors (15730913736).

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

4938071040 is an frugal number, since it uses more digits than its factorization.

4938071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4938071040 is about 70271.4098335874. The cubic root of 4938071040 is about 1702.8867952307.

The spelling of 4938071040 in words is "four billion, nine hundred thirty-eight million, seventy-one thousand, forty".