4055889877776 has 675 divisors, whose sum is σ = 13360592511045. Its totient is φ = 1148420021760.

The previous prime is 4055889877769. The next prime is 4055889877783. The reversal of 4055889877776 is 6777789885504.

The square root of 4055889877776 is 2013924.

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

4055889877776 is a `hidden beast` number, since 405 + 58 + 8 + 98 + 7 + 7 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (4055889877769) and next prime (4055889877783).

It can be written as a sum of positive squares in only one way, i.e., 2302320675600 + 1753569202176 = 1517340^2 + 1324224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4055889877695 and 4055889877704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55560135276 + ... + 55560135348.

Almost surely, 2^{4055889877776} is an apocalyptic number.

4055889877776 is the 2013924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4055889877776

4055889877776 is an abundant number, since it is smaller than the sum of its proper divisors (9304702633269).

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

4055889877776 is an equidigital number, since it uses as much as digits as its factorization.

4055889877776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6638284800, while the sum is 81.

Multiplying 4055889877776 by its sum of digits (81), we get a square (328527080099856 = 18125316²).

The spelling of 4055889877776 in words is "four trillion, fifty-five billion, eight hundred eighty-nine million, eight hundred seventy-seven thousand, seven hundred seventy-six".