4798604298240 has 1536 divisors, whose sum is σ = 18819440640000. Its totient is φ = 1155217489920.

The previous prime is 4798604298233. The next prime is 4798604298277. The reversal of 4798604298240 is 428924068974.

4798604298240 is a `hidden beast` number, since 4 + 7 + 98 + 6 + 0 + 429 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×4798604298240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12864890694 + ... + 12864891066.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240000).

Almost surely, 2^{4798604298240} is an apocalyptic number.

4798604298240 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 4798604298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409720320000).

4798604298240 is an abundant number, since it is smaller than the sum of its proper divisors (14020836341760).

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

4798604298240 is a wasteful number, since it uses less digits than its factorization.

4798604298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4798604298240 in words is "four trillion, seven hundred ninety-eight billion, six hundred four million, two hundred ninety-eight thousand, two hundred forty".