1405116141 has 32 divisors (see below), whose sum is σ = 2222881920. Its totient is φ = 778272000.

The previous prime is 1405116127. The next prime is 1405116173. The reversal of 1405116141 is 1416115041.

It is not a de Polignac number, because 1405116141 - 2⁶ = 1405116077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405116541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27115 + ... + 59543.

It is an arithmetic number, because the mean of its divisors is an integer number (69465060).

Almost surely, 2^1405116141 is an apocalyptic number.

1405116141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1405116141 is a deficient number, since it is larger than the sum of its proper divisors (817765779).

1405116141 is a wasteful number, since it uses less digits than its factorization.

1405116141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32557.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1405116141 is about 37484.8788313368. The cubic root of 1405116141 is about 1120.0499927196.

The spelling of 1405116141 in words is "one billion, four hundred five million, one hundred sixteen thousand, one hundred forty-one".