1431966435904 has 63 divisors (see below), whose sum is σ = 2871910363483. Its totient is φ = 708415616000.

The previous prime is 1431966435901. The next prime is 1431966435923. The reversal of 1431966435904 is 4095346691341.

The square root of 1431966435904 is 1196648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 346035709504 + 1085930726400 = 588248^2 + 1042080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1431966435901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 966890844 + ... + 966892324.

Almost surely, 2^{1431966435904} is an apocalyptic number.

1431966435904 is the 1196648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431966435904

1431966435904 is an abundant number, since it is smaller than the sum of its proper divisors (1439943927579).

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

1431966435904 is an frugal number, since it uses more digits than its factorization.

1431966435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 1431966435904 in words is "one trillion, four hundred thirty-one billion, nine hundred sixty-six million, four hundred thirty-five thousand, nine hundred four".