4019106762441 has 27 divisors (see below), whose sum is σ = 5966849468853. Its totient is φ = 2606843826720.

The previous prime is 4019106762317. The next prime is 4019106762491. The reversal of 4019106762441 is 1442676019104.

The square root of 4019106762441 is 2004771.

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

4019106762441 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 10 + 6 + 7 + 624 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2029043558025 + 1990063204416 = 1424445^2 + 1410696^2 .

It is not a de Polignac number, because 4019106762441 - 2⁷ = 4019106762313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4019106762491) 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, 222520551 + ... + 222538611.

Almost surely, 2^{4019106762441} is an apocalyptic number.

4019106762441 is the 2004771-st square number.

4019106762441 is the 1002386-th centered octagonal number.

It is an amenable number.

4019106762441 is a deficient number, since it is larger than the sum of its proper divisors (1947742706412).

4019106762441 is an frugal number, since it uses more digits than its factorization.

4019106762441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36202 (or 18101 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4019106762441 in words is "four trillion, nineteen billion, one hundred six million, seven hundred sixty-two thousand, four hundred forty-one".