1000434140431 has 8 divisors (see below), whose sum is σ = 1091929233744. Its totient is φ = 909030136320.

The previous prime is 1000434140429. The next prime is 1000434140441. The reversal of 1000434140431 is 1340414340001.

1000434140431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000434140431 - 2¹ = 1000434140429 is a prime.

It is a super-2 number, since 2×1000434140431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000434140396 and 1000434140405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000434140401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22749330 + ... + 22793263.

It is an arithmetic number, because the mean of its divisors is an integer number (136491154218).

Almost surely, 2^{1000434140431} is an apocalyptic number.

1000434140431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000434140431 is a deficient number, since it is larger than the sum of its proper divisors (91495093313).

1000434140431 is a wasteful number, since it uses less digits than its factorization.

1000434140431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45544601.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1000434140431 its reverse (1340414340001), we get a palindrome (2340848480432).

The spelling of 1000434140431 in words is "one trillion, four hundred thirty-four million, one hundred forty thousand, four hundred thirty-one".