42127576811776 has 81 divisors (see below), whose sum is σ = 85273643777931. Its totient is φ = 20771504787456.

The previous prime is 42127576811743. The next prime is 42127576811791. The reversal of 42127576811776 is 67711867572124.

The square root of 42127576811776 is 6490576.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13872823941376 + 28254752870400 = 3724624^2 + 5315520^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7580989990 + ... + 7580995546.

Almost surely, 2^{42127576811776} is an apocalyptic number.

42127576811776 is the 6490576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42127576811776

42127576811776 is an abundant number, since it is smaller than the sum of its proper divisors (43146066966155).

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

42127576811776 is an frugal number, since it uses more digits than its factorization.

42127576811776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 5632 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 64.

42127576811776 divided by its sum of digits (64) gives a square (658243387684 = 811322²).

The spelling of 42127576811776 in words is "forty-two trillion, one hundred twenty-seven billion, five hundred seventy-six million, eight hundred eleven thousand, seven hundred seventy-six".