1440414434331 has 32 divisors (see below), whose sum is σ = 2287368417600. Its totient is φ = 903789425664.

The previous prime is 1440414434309. The next prime is 1440414434369. The reversal of 1440414434331 is 1334344140441.

1440414434331 is a `hidden beast` number, since 1 + 440 + 4 + 144 + 3 + 43 + 31 = 666.

It is not a de Polignac number, because 1440414434331 - 2⁵ = 1440414434299 is a prime.

It is a super-2 number, since 2×1440414434331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1440414434131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19334166 + ... + 19408523.

It is an arithmetic number, because the mean of its divisors is an integer number (71480263050).

Almost surely, 2^{1440414434331} is an apocalyptic number.

1440414434331 is a deficient number, since it is larger than the sum of its proper divisors (846953983269).

1440414434331 is an frugal number, since it uses more digits than its factorization.

1440414434331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38742727 (or 38742709 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1440414434331 its reverse (1334344140441), we get a palindrome (2774758574772).

The spelling of 1440414434331 in words is "one trillion, four hundred forty billion, four hundred fourteen million, four hundred thirty-four thousand, three hundred thirty-one".