1041431114040 has 128 divisors (see below), whose sum is σ = 3148966195200. Its totient is φ = 275530429440.

The previous prime is 1041431113979. The next prime is 1041431114069. The reversal of 1041431114040 is 404111341401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1041431114040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7705284 + ... + 7839276.

It is an arithmetic number, because the mean of its divisors is an integer number (24601298400).

Almost surely, 2^{1041431114040} is an apocalyptic number.

1041431114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041431114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574483097600).

1041431114040 is an abundant number, since it is smaller than the sum of its proper divisors (2107535081160).

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

1041431114040 is a wasteful number, since it uses less digits than its factorization.

1041431114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134517 (or 134513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1041431114040 its reverse (404111341401), we get a palindrome (1445542455441).

The spelling of 1041431114040 in words is "one trillion, forty-one billion, four hundred thirty-one million, one hundred fourteen thousand, forty".