4835849293440 has 576 divisors, whose sum is σ = 18381300537600. Its totient is φ = 1170639360000.

The previous prime is 4835849293439. The next prime is 4835849293441. The reversal of 4835849293440 is 443929485384.

4835849293440 is a `hidden beast` number, since 4 + 8 + 3 + 58 + 492 + 93 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4835849293439) and next prime (4835849293441).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4835849293441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 523412341 + ... + 523421579.

It is an arithmetic number, because the mean of its divisors is an integer number (31911980100).

Almost surely, 2^{4835849293440} is an apocalyptic number.

4835849293440 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 4835849293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190650268800).

4835849293440 is an abundant number, since it is smaller than the sum of its proper divisors (13545451244160).

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

4835849293440 is a wasteful number, since it uses less digits than its factorization.

4835849293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4835849293440 in words is "four trillion, eight hundred thirty-five billion, eight hundred forty-nine million, two hundred ninety-three thousand, four hundred forty".