1404442450272 has 96 divisors (see below), whose sum is σ = 3742204233600. Its totient is φ = 461096368128.

The previous prime is 1404442450247. The next prime is 1404442450273. The reversal of 1404442450272 is 2720542444041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1404442450272² (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 1404442450272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404442450273) 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, 76782504 + ... + 76800792.

It is an arithmetic number, because the mean of its divisors is an integer number (38981294100).

Almost surely, 2^{1404442450272} is an apocalyptic number.

1404442450272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404442450272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871102116800).

1404442450272 is an abundant number, since it is smaller than the sum of its proper divisors (2337761783328).

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

1404442450272 is a wasteful number, since it uses less digits than its factorization.

1404442450272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30308 (or 30300 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 39.

The spelling of 1404442450272 in words is "one trillion, four hundred four billion, four hundred forty-two million, four hundred fifty thousand, two hundred seventy-two".