1406656475136 has 208 divisors, whose sum is σ = 4546217310720. Its totient is φ = 426259169280.

The previous prime is 1406656475087. The next prime is 1406656475149. The reversal of 1406656475136 is 6315746566041.

1406656475136 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 6 + 564 + 75 + 1 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638361 + ... + 1794663.

Almost surely, 2^{1406656475136} is an apocalyptic number.

1406656475136 is a gapful number since it is divisible by the number (16) 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 1406656475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273108655360).

1406656475136 is an abundant number, since it is smaller than the sum of its proper divisors (3139560835584).

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

1406656475136 is a wasteful number, since it uses less digits than its factorization.

1406656475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156347 (or 1156319 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1406656475136 in words is "one trillion, four hundred six billion, six hundred fifty-six million, four hundred seventy-five thousand, one hundred thirty-six".