1406540331405 has 144 divisors (see below), whose sum is σ = 2897547793920. Its totient is φ = 625223059200.

The previous prime is 1406540331377. The next prime is 1406540331473. The reversal of 1406540331405 is 5041330456041.

1406540331405 is a `hidden beast` number, since 1 + 40 + 6 + 540 + 3 + 31 + 40 + 5 = 666.

It is not a de Polignac number, because 1406540331405 - 2⁸ = 1406540331149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1406540331405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5412591 + ... + 5666499.

It is an arithmetic number, because the mean of its divisors is an integer number (20121859680).

Almost surely, 2^{1406540331405} is an apocalyptic number.

1406540331405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1406540331405 is an abundant number, since it is smaller than the sum of its proper divisors (1491007462515).

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

1406540331405 is a wasteful number, since it uses less digits than its factorization.

1406540331405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254000 (or 253978 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1406540331405 its reverse (5041330456041), we get a palindrome (6447870787446).

The spelling of 1406540331405 in words is "one trillion, four hundred six billion, five hundred forty million, three hundred thirty-one thousand, four hundred five".