1295016444 has 96 divisors (see below), whose sum is σ = 3476910080. Its totient is φ = 416404800.

The previous prime is 1295016439. The next prime is 1295016451. The reversal of 1295016444 is 4446105921.

1295016444 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 0 + 1 + 644 + 4 = 666.

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 = 1295016399 and 1295016408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052009 + ... + 2052639.

Almost surely, 2^1295016444 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 1295016444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738455040).

1295016444 is an abundant number, since it is smaller than the sum of its proper divisors (2181893636).

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

1295016444 is a wasteful number, since it uses less digits than its factorization.

1295016444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1295016444 is about 35986.3369072208. The cubic root of 1295016444 is about 1089.9964772773.

The spelling of 1295016444 in words is "one billion, two hundred ninety-five million, sixteen thousand, four hundred forty-four".