4901409540 has 144 divisors (see below), whose sum is σ = 15126471360. Its totient is φ = 1284491520.

The previous prime is 4901409529. The next prime is 4901409551. The reversal of 4901409540 is 459041094.

It is a happy number.

4901409540 is a `hidden beast` number, since 490 + 1 + 40 + 95 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4901409529) and next prime (4901409551).

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 = 4901409495 and 4901409504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2569267 + ... + 2571173.

It is an arithmetic number, because the mean of its divisors is an integer number (105044940).

Almost surely, 2^4901409540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4901409540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563235680).

4901409540 is an abundant number, since it is smaller than the sum of its proper divisors (10225061820).

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

4901409540 is a wasteful number, since it uses less digits than its factorization.

4901409540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4901409540 is about 70010.0674189077. The cubic root of 4901409540 is about 1698.6621007526.

The spelling of 4901409540 in words is "four billion, nine hundred one million, four hundred nine thousand, five hundred forty".