1144405314320 has 40 divisors (see below), whose sum is σ = 2732654318424. Its totient is φ = 445390175232.

The previous prime is 1144405314281. The next prime is 1144405314347. The reversal of 1144405314320 is 234135044411.

It can be written as a sum of positive squares in 4 ways, for example, as 459662304256 + 684743010064 = 677984^2 + 827492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193308749 + ... + 193314668.

Almost surely, 2^{1144405314320} is an apocalyptic number.

1144405314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144405314320 is an abundant number, since it is smaller than the sum of its proper divisors (1588249004104).

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

1144405314320 is a wasteful number, since it uses less digits than its factorization.

1144405314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386623467 (or 386623461 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 1144405314320 in words is "one trillion, one hundred forty-four billion, four hundred five million, three hundred fourteen thousand, three hundred twenty".