1406464000101 has 16 divisors (see below), whose sum is σ = 2090223412800. Its totient is φ = 934684797744.

The previous prime is 1406464000079. The next prime is 1406464000133. The reversal of 1406464000101 is 1010004646041.

1406464000101 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 4 + 640 + 0 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 1406464000101 - 2⁵ = 1406464000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406464000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82154311 + ... + 82171428.

It is an arithmetic number, because the mean of its divisors is an integer number (130638963300).

Almost surely, 2^{1406464000101} is an apocalyptic number.

It is an amenable number.

1406464000101 is a deficient number, since it is larger than the sum of its proper divisors (683759412699).

1406464000101 is a wasteful number, since it uses less digits than its factorization.

1406464000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164326065 (or 164326059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1406464000101 its reverse (1010004646041), we get a palindrome (2416468646142).

The spelling of 1406464000101 in words is "one trillion, four hundred six billion, four hundred sixty-four million, one hundred one", and thus it is an aban number.