4993410240 has 1120 divisors, whose sum is σ = 22925105280. Its totient is φ = 1003290624.

The previous prime is 4993410203. The next prime is 4993410263. The reversal of 4993410240 is 420143994.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 4993410195 and 4993410204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68402844 + ... + 68402916.

It is an arithmetic number, because the mean of its divisors is an integer number (20468844).

Almost surely, 2^4993410240 is an apocalyptic number.

4993410240 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 4993410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462552640).

4993410240 is an abundant number, since it is smaller than the sum of its proper divisors (17931695040).

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

4993410240 is a wasteful number, since it uses less digits than its factorization.

4993410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4993410240 is about 70664.0661156715. The cubic root of 4993410240 is about 1709.2243943370.

The spelling of 4993410240 in words is "four billion, nine hundred ninety-three million, four hundred ten thousand, two hundred forty".