1406336214132 has 36 divisors (see below), whose sum is σ = 3590102522916. Its totient is φ = 464137363200.

The previous prime is 1406336214113. The next prime is 1406336214163. The reversal of 1406336214132 is 2314126336041.

1406336214132 is a `hidden beast` number, since 1 + 4 + 0 + 633 + 6 + 2 + 1 + 4 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1387368313956 + 18967900176 = 1177866^2 + 137724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193386933 + ... + 193394204.

It is an arithmetic number, because the mean of its divisors is an integer number (99725070081).

Almost surely, 2^{1406336214132} is an apocalyptic number.

1406336214132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406336214132 is an abundant number, since it is smaller than the sum of its proper divisors (2183766308784).

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

1406336214132 is a wasteful number, since it uses less digits than its factorization.

1406336214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386781248 (or 386781243 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1406336214132 in words is "one trillion, four hundred six billion, three hundred thirty-six million, two hundred fourteen thousand, one hundred thirty-two".