1405816401 has 32 divisors (see below), whose sum is σ = 2098897920. Its totient is φ = 829774400.

The previous prime is 1405816387. The next prime is 1405816453. The reversal of 1405816401 is 1046185041.

It is a cyclic number.

It is not a de Polignac number, because 1405816401 - 2¹⁵ = 1405783633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1405816001) 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, 190855 + ... + 198083.

It is an arithmetic number, because the mean of its divisors is an integer number (65590560).

Almost surely, 2^1405816401 is an apocalyptic number.

1405816401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1405816401 is a deficient number, since it is larger than the sum of its proper divisors (693081519).

1405816401 is a wasteful number, since it uses less digits than its factorization.

1405816401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1405816401 is about 37494.2182342825. The cubic root of 1405816401 is about 1120.2360262029.

The spelling of 1405816401 in words is "one billion, four hundred five million, eight hundred sixteen thousand, four hundred one".