42779461441201 has 27 divisors (see below), whose sum is σ = 45024128978283. Its totient is φ = 40645387606320.

The previous prime is 42779461441193. The next prime is 42779461441231. The reversal of 42779461441201 is 10214416497724.

The square root of 42779461441201 is 6540601.

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

It can be written as a sum of positive squares in only one way, i.e., 38279649573025 + 4499811868176 = 6187055^2 + 2121276^2 .

It is not a de Polignac number, because 42779461441201 - 2³ = 42779461441193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42779461441231) 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, 10406094136 + ... + 10406098246.

It is an arithmetic number, because the mean of its divisors is an integer number (1667560332529).

Almost surely, 2^{42779461441201} is an apocalyptic number.

42779461441201 is the 6540601-st square number.

42779461441201 is the 3270301-st centered octagonal number.

It is an amenable number.

42779461441201 is a deficient number, since it is larger than the sum of its proper divisors (2244667537082).

42779461441201 is an frugal number, since it uses more digits than its factorization.

42779461441201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 42779461441201 in words is "forty-two trillion, seven hundred seventy-nine billion, four hundred sixty-one million, four hundred forty-one thousand, two hundred one".