1431075382407 has 64 divisors (see below), whose sum is σ = 2330559544320. Its totient is φ = 860681548800.

The previous prime is 1431075382393. The next prime is 1431075382427. The reversal of 1431075382407 is 7042835701341.

1431075382407 is a `hidden beast` number, since 1 + 4 + 3 + 107 + 538 + 2 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 1431075382407 - 2¹⁰ = 1431075381383 is a prime.

It is a super-2 number, since 2×1431075382407² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431075382427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173859982 + ... + 173868212.

It is an arithmetic number, because the mean of its divisors is an integer number (36414992880).

Almost surely, 2^{1431075382407} is an apocalyptic number.

1431075382407 is a deficient number, since it is larger than the sum of its proper divisors (899484161913).

1431075382407 is a wasteful number, since it uses less digits than its factorization.

1431075382407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1431075382407 in words is "one trillion, four hundred thirty-one billion, seventy-five million, three hundred eighty-two thousand, four hundred seven".