4960103040 has 320 divisors, whose sum is σ = 17852456160. Its totient is φ = 1312339968.

The previous prime is 4960103023. The next prime is 4960103047. The reversal of 4960103040 is 403010694.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4960102995 and 4960103013.

It is not an unprimeable number, because it can be changed into a prime (4960103047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8449627 + ... + 8450213.

Almost surely, 2^4960103040 is an apocalyptic number.

4960103040 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 4960103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926228080).

4960103040 is an abundant number, since it is smaller than the sum of its proper divisors (12892353120).

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

4960103040 is a wasteful number, since it uses less digits than its factorization.

4960103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4960103040 is about 70427.9989776793. The cubic root of 4960103040 is about 1705.4156060374.

The spelling of 4960103040 in words is "four billion, nine hundred sixty million, one hundred three thousand, forty".