4249708118460 has 1152 divisors, whose sum is σ = 16698415104000. Its totient is φ = 876306055680.

The previous prime is 4249708118431. The next prime is 4249708118471. The reversal of 4249708118460 is 648118079424.

4249708118460 is a `hidden beast` number, since 4 + 2 + 4 + 97 + 0 + 81 + 18 + 460 = 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 = 4249708118397 and 4249708118406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4624273881 + ... + 4624274799.

It is an arithmetic number, because the mean of its divisors is an integer number (14495152000).

Almost surely, 2^{4249708118460} 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 4249708118460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349207552000).

4249708118460 is an abundant number, since it is smaller than the sum of its proper divisors (12448706985540).

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

4249708118460 is a wasteful number, since it uses less digits than its factorization.

4249708118460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4249708118460 in words is "four trillion, two hundred forty-nine billion, seven hundred eight million, one hundred eighteen thousand, four hundred sixty".