1020400441 has 4 divisors (see below), whose sum is σ = 1022704272. Its totient is φ = 1018096612.

The previous prime is 1020400417. The next prime is 1020400463. The reversal of 1020400441 is 1440040201.

1020400441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1020400441 - 2⁹ = 1020399929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020400481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1151251 + ... + 1152136.

It is an arithmetic number, because the mean of its divisors is an integer number (255676068).

Almost surely, 2^1020400441 is an apocalyptic number.

It is an amenable number.

1020400441 is a deficient number, since it is larger than the sum of its proper divisors (2303831).

1020400441 is an equidigital number, since it uses as much as digits as its factorization.

1020400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303830.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1020400441 is about 31943.7073771972. The cubic root of 1020400441 is about 1006.7544220653.

Adding to 1020400441 its reverse (1440040201), we get a palindrome (2460440642).

The spelling of 1020400441 in words is "one billion, twenty million, four hundred thousand, four hundred forty-one".