4122577049760 has 720 divisors, whose sum is σ = 15819402060000. Its totient is φ = 1010610432000.

The previous prime is 4122577049741. The next prime is 4122577049807. The reversal of 4122577049760 is 679407752214.

4122577049760 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 577 + 0 + 4 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4122577049697 and 4122577049706.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 549746491 + ... + 549753989.

It is an arithmetic number, because the mean of its divisors is an integer number (21971391750).

Almost surely, 2^{4122577049760} is an apocalyptic number.

4122577049760 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 4122577049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909701030000).

4122577049760 is an abundant number, since it is smaller than the sum of its proper divisors (11696825010240).

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

4122577049760 is a wasteful number, since it uses less digits than its factorization.

4122577049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 4122577049760 in words is "four trillion, one hundred twenty-two billion, five hundred seventy-seven million, forty-nine thousand, seven hundred sixty".