1406134634544 has 240 divisors, whose sum is σ = 4246243223040. Its totient is φ = 432751196160.

The previous prime is 1406134634521. The next prime is 1406134634647. The reversal of 1406134634544 is 4454364316041.

1406134634544 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 1 + 3 + 4 + 634 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×1406134634544² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1406134634544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70328389 + ... + 70348379.

It is an arithmetic number, because the mean of its divisors is an integer number (17692680096).

Almost surely, 2^{1406134634544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406134634544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123121611520).

1406134634544 is an abundant number, since it is smaller than the sum of its proper divisors (2840108588496).

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

1406134634544 is a wasteful number, since it uses less digits than its factorization.

1406134634544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20568 (or 20559 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1406134634544 in words is "one trillion, four hundred six billion, one hundred thirty-four million, six hundred thirty-four thousand, five hundred forty-four".