1405135641 has 64 divisors (see below), whose sum is σ = 2413264896. Its totient is φ = 707443200.

The previous prime is 1405135607. The next prime is 1405135651. The reversal of 1405135641 is 1465315041.

It is a happy number.

It is not a de Polignac number, because 1405135641 - 2⁶ = 1405135577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1405135599 and 1405135608.

It is not an unprimeable number, because it can be changed into a prime (1405135651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524736 + ... + 527406.

It is an arithmetic number, because the mean of its divisors is an integer number (37707264).

Almost surely, 2^1405135641 is an apocalyptic number.

It is an amenable number.

1405135641 is a deficient number, since it is larger than the sum of its proper divisors (1008129255).

1405135641 is a wasteful number, since it uses less digits than its factorization.

1405135641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1405135641 is about 37485.1389353168. The cubic root of 1405135641 is about 1120.0551739933.

The spelling of 1405135641 in words is "one billion, four hundred five million, one hundred thirty-five thousand, six hundred forty-one".