1425122273664 has 640 divisors, whose sum is σ = 4565972268000. Its totient is φ = 439895162880.

The previous prime is 1425122273647. The next prime is 1425122273689. The reversal of 1425122273664 is 4663722215241.

1425122273664 is a `hidden beast` number, since 1 + 4 + 2 + 512 + 2 + 2 + 73 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2799847042 + ... + 2799847550.

Almost surely, 2^{1425122273664} 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 1425122273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282986134000).

1425122273664 is an abundant number, since it is smaller than the sum of its proper divisors (3140849994336).

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

1425122273664 is a wasteful number, since it uses less digits than its factorization.

1425122273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 827 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 1425122273664 in words is "one trillion, four hundred twenty-five billion, one hundred twenty-two million, two hundred seventy-three thousand, six hundred sixty-four".