4148779656420 has 864 divisors, whose sum is σ = 15362098053120. Its totient is φ = 902617551360.

The previous prime is 4148779656419. The next prime is 4148779656473. The reversal of 4148779656420 is 246569778414.

4148779656420 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 77 + 96 + 56 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5041044129 + ... + 5041044951.

It is an arithmetic number, because the mean of its divisors is an integer number (17780206080).

Almost surely, 2^{4148779656420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148779656420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681049026560).

4148779656420 is an abundant number, since it is smaller than the sum of its proper divisors (11213318396700).

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

4148779656420 is a wasteful number, since it uses less digits than its factorization.

4148779656420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4148779656420 in words is "four trillion, one hundred forty-eight billion, seven hundred seventy-nine million, six hundred fifty-six thousand, four hundred twenty".