7820435441 has 32 divisors (see below), whose sum is σ = 9947578368. Its totient is φ = 5980806720.

The previous prime is 7820435431. The next prime is 7820435453. The reversal of 7820435441 is 1445340287.

It is not a de Polignac number, because 7820435441 - 2¹⁰ = 7820434417 is a prime.

It is a super-2 number, since 2×7820435441² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7820435395 and 7820435404.

It is not an unprimeable number, because it can be changed into a prime (7820435401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4690490 + ... + 4692156.

It is an arithmetic number, because the mean of its divisors is an integer number (310861824).

Almost surely, 2^7820435441 is an apocalyptic number.

It is an amenable number.

7820435441 is a deficient number, since it is larger than the sum of its proper divisors (2127142927).

7820435441 is a wasteful number, since it uses less digits than its factorization.

7820435441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381.

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 7820435441 is about 88433.2258882373. The cubic root of 7820435441 is about 1984.9229130835.

The spelling of 7820435441 in words is "seven billion, eight hundred twenty million, four hundred thirty-five thousand, four hundred forty-one".