4276127694400 has 189 divisors, whose sum is σ = 11180969610457. Its totient is φ = 1609306931200.

The previous prime is 4276127694367. The next prime is 4276127694401. The reversal of 4276127694400 is 44967216724.

The square root of 4276127694400 is 2067880.

It is a perfect power (a square), and thus also a powerful number.

4276127694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 297769536 + 4275829924864 = 17256^2 + 2067808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4276127694401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1406156880 + ... + 1406159920.

Almost surely, 2^{4276127694400} is an apocalyptic number.

4276127694400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4276127694400 is the 2067880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4276127694400

4276127694400 is an abundant number, since it is smaller than the sum of its proper divisors (6904841916057).

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

4276127694400 is an frugal number, since it uses more digits than its factorization.

4276127694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 4276127694400 in words is "four trillion, two hundred seventy-six billion, one hundred twenty-seven million, six hundred ninety-four thousand, four hundred".