1405054541 has 48 divisors (see below), whose sum is σ = 1698016320. Its totient is φ = 1157587200.

The previous prime is 1405054537. The next prime is 1405054549. The reversal of 1405054541 is 1454505041.

It is not a de Polignac number, because 1405054541 - 2² = 1405054537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405054549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6030161 + ... + 6030393.

It is an arithmetic number, because the mean of its divisors is an integer number (35375340).

Almost surely, 2^1405054541 is an apocalyptic number.

1405054541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1405054541 is a deficient number, since it is larger than the sum of its proper divisors (292961779).

1405054541 is a wasteful number, since it uses less digits than its factorization.

1405054541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 1405054541 is about 37484.0571576770. The cubic root of 1405054541 is about 1120.0336248940.

Adding to 1405054541 its reverse (1454505041), we get a palindrome (2859559582).

The spelling of 1405054541 in words is "one billion, four hundred five million, fifty-four thousand, five hundred forty-one".