1628740040841 has 27 divisors (see below), whose sum is σ = 2367264789799. Its totient is φ = 1079111218992.

The previous prime is 1628740040821. The next prime is 1628740040861. The reversal of 1628740040841 is 1480400478261.

The square root of 1628740040841 is 1276221.

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

1628740040841 is a `hidden beast` number, since 162 + 8 + 7 + 40 + 0 + 408 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1628740040821) and next prime (1628740040861).

It can be written as a sum of positive squares in only one way, i.e., 1481588012025 + 147152028816 = 1217205^2 + 383604^2 .

It is not a de Polignac number, because 1628740040841 - 2¹⁹ = 1628739516553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1628740040801) 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, 662357470 + ... + 662359928.

Almost surely, 2^{1628740040841} is an apocalyptic number.

1628740040841 is the 1276221-st square number.

1628740040841 is the 638111-st centered octagonal number.

It is an amenable number.

1628740040841 is a deficient number, since it is larger than the sum of its proper divisors (738524748958).

1628740040841 is an frugal number, since it uses more digits than its factorization.

1628740040841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1628740040841 in words is "one trillion, six hundred twenty-eight billion, seven hundred forty million, forty thousand, eight hundred forty-one".