4904617630440 has 256 divisors, whose sum is σ = 16368921676800. Its totient is φ = 1165702553600.

The previous prime is 4904617630307. The next prime is 4904617630457. The reversal of 4904617630440 is 440367164094.

It is a self number, because there is not a number n which added to its sum of digits gives 4904617630440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14181496 + ... + 14523224.

It is an arithmetic number, because the mean of its divisors is an integer number (63941100300).

Almost surely, 2^{4904617630440} is an apocalyptic number.

4904617630440 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 4904617630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184460838400).

4904617630440 is an abundant number, since it is smaller than the sum of its proper divisors (11464304046360).

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

4904617630440 is a wasteful number, since it uses less digits than its factorization.

4904617630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341968 (or 341964 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 4904617630440 in words is "four trillion, nine hundred four billion, six hundred seventeen million, six hundred thirty thousand, four hundred forty".