4805413572960 has 3456 divisors, whose sum is σ = 24141172608000. Its totient is φ = 871071252480.

The previous prime is 4805413572929. The next prime is 4805413572983. The reversal of 4805413572960 is 692753145084.

It is a happy number.

4805413572960 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 4 + 1 + 3 + 572 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4805413572897 and 4805413572906.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 11749177236 + ... + 11749177644.

It is an arithmetic number, because the mean of its divisors is an integer number (6985293000).

It is a 1-persistent number, because it is pandigital, but 2⋅4805413572960 = 9610827145920 is not.

Almost surely, 2^{4805413572960} is an apocalyptic number.

4805413572960 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 4805413572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070586304000).

4805413572960 is an abundant number, since it is smaller than the sum of its proper divisors (19335759035040).

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

4805413572960 is a wasteful number, since it uses less digits than its factorization.

4805413572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4805413572960 in words is "four trillion, eight hundred five billion, four hundred thirteen million, five hundred seventy-two thousand, nine hundred sixty".