4804172315280 has 1440 divisors, whose sum is σ = 18733425984000. Its totient is φ = 1100866830336.

The previous prime is 4804172315273. The next prime is 4804172315317. The reversal of 4804172315280 is 825132714084.

4804172315280 is a `hidden beast` number, since 4 + 8 + 0 + 417 + 2 + 3 + 152 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13765536546 + ... + 13765536894.

It is an arithmetic number, because the mean of its divisors is an integer number (13009323600).

Almost surely, 2^{4804172315280} is an apocalyptic number.

4804172315280 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 4804172315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9366712992000).

4804172315280 is an abundant number, since it is smaller than the sum of its proper divisors (13929253668720).

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

4804172315280 is a wasteful number, since it uses less digits than its factorization.

4804172315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4804172315280 in words is "four trillion, eight hundred four billion, one hundred seventy-two million, three hundred fifteen thousand, two hundred eighty".