4940723040 has 384 divisors, whose sum is σ = 18014814720. Its totient is φ = 1126809600.

The previous prime is 4940723027. The next prime is 4940723057. The reversal of 4940723040 is 403270494.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4940722992 and 4940723010.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6277527 + ... + 6278313.

It is an arithmetic number, because the mean of its divisors is an integer number (46913580).

Almost surely, 2^4940723040 is an apocalyptic number.

4940723040 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 4940723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007407360).

4940723040 is an abundant number, since it is smaller than the sum of its proper divisors (13074091680).

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

4940723040 is a wasteful number, since it uses less digits than its factorization.

4940723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4940723040 is about 70290.2769947594. The cubic root of 4940723040 is about 1703.1915868206.

The spelling of 4940723040 in words is "four billion, nine hundred forty million, seven hundred twenty-three thousand, forty".