1041344434031 has 128 divisors (see below), whose sum is σ = 1282447468800. Its totient is φ = 834748416000.

The previous prime is 1041344434021. The next prime is 1041344434061. The reversal of 1041344434031 is 1304344431401.

It is not a de Polignac number, because 1041344434031 - 2⁶ = 1041344433967 is a prime.

It is a super-3 number, since 3×1041344434031³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041344434001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6988888745 + ... + 6988888893.

It is an arithmetic number, because the mean of its divisors is an integer number (10019120850).

Almost surely, 2^{1041344434031} is an apocalyptic number.

1041344434031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1041344434031 is a deficient number, since it is larger than the sum of its proper divisors (241103034769).

1041344434031 is a wasteful number, since it uses less digits than its factorization.

1041344434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1041344434031 its reverse (1304344431401), we get a palindrome (2345688865432).

It can be divided in two parts, 10413 and 44434031, that added together give a palindrome (44444444).

The spelling of 1041344434031 in words is "one trillion, forty-one billion, three hundred forty-four million, four hundred thirty-four thousand, thirty-one".