1405106401 has 8 divisors (see below), whose sum is σ = 1439593344. Its totient is φ = 1371027840.

The previous prime is 1405106377. The next prime is 1405106431. The reversal of 1405106401 is 1046015041.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1405106401 - 2⁵ = 1405106369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1405106431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95125 + ... + 108898.

It is an arithmetic number, because the mean of its divisors is an integer number (179949168).

Almost surely, 2^1405106401 is an apocalyptic number.

It is an amenable number.

1405106401 is a deficient number, since it is larger than the sum of its proper divisors (34486943).

1405106401 is an equidigital number, since it uses as much as digits as its factorization.

1405106401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204191.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1405106401 is about 37484.7489120576. The cubic root of 1405106401 is about 1120.0474047219.

The spelling of 1405106401 in words is "one billion, four hundred five million, one hundred six thousand, four hundred one".