4269720256128 has 384 divisors, whose sum is σ = 13598448729600. Its totient is φ = 1317427752960.

The previous prime is 4269720256069. The next prime is 4269720256169. The reversal of 4269720256128 is 8216520279624.

4269720256128 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 72 + 0 + 2 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4269720256128² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56637276 + ... + 56712612.

It is an arithmetic number, because the mean of its divisors is an integer number (35412626900).

Almost surely, 2^{4269720256128} is an apocalyptic number.

4269720256128 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 4269720256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799224364800).

4269720256128 is an abundant number, since it is smaller than the sum of its proper divisors (9328728473472).

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

4269720256128 is a wasteful number, since it uses less digits than its factorization.

4269720256128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75437 (or 75396 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4269720256128 in words is "four trillion, two hundred sixty-nine billion, seven hundred twenty million, two hundred fifty-six thousand, one hundred twenty-eight".