1000414041 has 16 divisors (see below), whose sum is σ = 1455703488. Its totient is φ = 606080000.

The previous prime is 1000414033. The next prime is 1000414057. The reversal of 1000414041 is 1404140001.

It is a cyclic number.

It is not a de Polignac number, because 1000414041 - 2³ = 1000414033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000414041.

It is not an unprimeable number, because it can be changed into a prime (1000413041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128245 + ... + 135821.

It is an arithmetic number, because the mean of its divisors is an integer number (90981468).

Almost surely, 2^1000414041 is an apocalyptic number.

1000414041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000414041 is a deficient number, since it is larger than the sum of its proper divisors (455289447).

1000414041 is a wasteful number, since it uses less digits than its factorization.

1000414041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11592.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1000414041 is about 31629.3224872111. The cubic root of 1000414041 is about 1000.1379946233.

Adding to 1000414041 its reverse (1404140001), we get a palindrome (2404554042).

The spelling of 1000414041 in words is "one billion, four hundred fourteen thousand, forty-one".