1406504522144 has 96 divisors (see below), whose sum is σ = 2991442285440. Its totient is φ = 648968320000.

The previous prime is 1406504522119. The next prime is 1406504522149. The reversal of 1406504522144 is 4412254056041.

It is a junction number, because it is equal to n+sod(n) for n = 1406504522098 and 1406504522107.

It is not an unprimeable number, because it can be changed into a prime (1406504522149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27743219 + ... + 27793869.

It is an arithmetic number, because the mean of its divisors is an integer number (31160857140).

Almost surely, 2^{1406504522144} 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 1406504522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495721142720).

1406504522144 is an abundant number, since it is smaller than the sum of its proper divisors (1584937763296).

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

1406504522144 is a wasteful number, since it uses less digits than its factorization.

1406504522144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52014 (or 52006 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 1406504522144 its reverse (4412254056041), we get a palindrome (5818758578185).

The spelling of 1406504522144 in words is "one trillion, four hundred six billion, five hundred four million, five hundred twenty-two thousand, one hundred forty-four".