4257979665408 has 792 divisors, whose sum is σ = 14531251198464. Its totient is φ = 1197265305600.

The previous prime is 4257979665367. The next prime is 4257979665413. The reversal of 4257979665408 is 8045669797524.

4257979665408 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 9 + 79 + 6 + 6 + 540 + 8 = 666.

4257979665408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9879302953 + ... + 9879303383.

It is an arithmetic number, because the mean of its divisors is an integer number (18347539392).

Almost surely, 2^{4257979665408} is an apocalyptic number.

4257979665408 is a gapful number since it is divisible by the number (48) 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 4257979665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265625599232).

4257979665408 is an abundant number, since it is smaller than the sum of its proper divisors (10273271533056).

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

4257979665408 is a wasteful number, since it uses less digits than its factorization.

4257979665408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 4257979665408 in words is "four trillion, two hundred fifty-seven billion, nine hundred seventy-nine million, six hundred sixty-five thousand, four hundred eight".