1406482894368 has 144 divisors (see below), whose sum is σ = 4235470064280. Its totient is φ = 441196535808.

The previous prime is 1406482894343. The next prime is 1406482894381. The reversal of 1406482894368 is 8634982846041.

1406482894368 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 482 + 8 + 94 + 3 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1185894864144 + 220588030224 = 1088988^2 + 469668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1406482894368² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68675746 + ... + 68696222.

Almost surely, 2^{1406482894368} is an apocalyptic number.

1406482894368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406482894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117735032140).

1406482894368 is an abundant number, since it is smaller than the sum of its proper divisors (2828987169912).

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

1406482894368 is a wasteful number, since it uses less digits than its factorization.

1406482894368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34539 (or 34528 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 1406482894368 in words is "one trillion, four hundred six billion, four hundred eighty-two million, eight hundred ninety-four thousand, three hundred sixty-eight".