1001405090 has 64 divisors (see below), whose sum is σ = 2199951360. Its totient is φ = 320785920.

The previous prime is 1001405017. The next prime is 1001405129. The reversal of 1001405090 is 905041001.

1001405090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54974 + ... + 70886.

It is an arithmetic number, because the mean of its divisors is an integer number (34374240).

Almost surely, 2^1001405090 is an apocalyptic number.

1001405090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001405090 is an abundant number, since it is smaller than the sum of its proper divisors (1198546270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001405090 is a wasteful number, since it uses less digits than its factorization.

1001405090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15987.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1001405090 is about 31644.9852267306. The cubic root of 1001405090 is about 1000.4681441402.

Adding to 1001405090 its reverse (905041001), we get a palindrome (1906446091).

The spelling of 1001405090 in words is "one billion, one million, four hundred five thousand, ninety".