4152979008360 has 384 divisors, whose sum is σ = 16950941280000. Its totient is φ = 876232594944.

The previous prime is 4152979008349. The next prime is 4152979008379. The reversal of 4152979008360 is 638009792514.

4152979008360 is a `hidden beast` number, since 41 + 529 + 79 + 0 + 0 + 8 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4152979008297 and 4152979008306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311671 + ... + 2898809.

It is an arithmetic number, because the mean of its divisors is an integer number (44143076250).

It is a 1-persistent number, because it is pandigital, but 2⋅4152979008360 = 8305958016720 is not.

Almost surely, 2^{4152979008360} is an apocalyptic number.

4152979008360 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 4152979008360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475470640000).

4152979008360 is an abundant number, since it is smaller than the sum of its proper divisors (12797962271640).

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

4152979008360 is a wasteful number, since it uses less digits than its factorization.

4152979008360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587190 (or 2587169 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4152979008360 in words is "four trillion, one hundred fifty-two billion, nine hundred seventy-nine million, eight thousand, three hundred sixty".