1406031520644 has 81 divisors (see below), whose sum is σ = 3573864452613. Its totient is φ = 466089840864.

The previous prime is 1406031520637. The next prime is 1406031520703. The reversal of 1406031520644 is 4460251306041.

The square root of 1406031520644 is 1185762.

It is a perfect power (a square), and thus also a powerful number.

1406031520644 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 0 + 3 + 1 + 5 + 2 + 0 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1309509458244 + 96522062400 = 1144338^2 + 310680^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1406031520599 and 1406031520608.

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 26 ways as a sum of consecutive naturals, for example, 1629236557 + ... + 1629237419.

Almost surely, 2^{1406031520644} is an apocalyptic number.

1406031520644 is the 1185762-nd square number.

It is an amenable number.

1406031520644 is an abundant number, since it is smaller than the sum of its proper divisors (2167832931969).

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

1406031520644 is an frugal number, since it uses more digits than its factorization.

1406031520644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 1406031520644 by its sum of digits (36), we get a square (50617134743184 = 7114572²).

1406031520644 divided by its sum of digits (36) gives a square (39056431129 = 197627²).

Adding to 1406031520644 its reverse (4460251306041), we get a palindrome (5866282826685).

The spelling of 1406031520644 in words is "one trillion, four hundred six billion, thirty-one million, five hundred twenty thousand, six hundred forty-four".