1042331433104 has 120 divisors (see below), whose sum is σ = 2341476062280. Its totient is φ = 447688310784.

The previous prime is 1042331433083. The next prime is 1042331433131. The reversal of 1042331433104 is 4013341332401.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 294037231504 + 748294201600 = 542252^2 + 865040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3963764 + ... + 4218540.

It is an arithmetic number, because the mean of its divisors is an integer number (19512300519).

Almost surely, 2^{1042331433104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042331433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170738031140).

1042331433104 is an abundant number, since it is smaller than the sum of its proper divisors (1299144629176).

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

1042331433104 is a wasteful number, since it uses less digits than its factorization.

1042331433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254917 (or 254898 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1042331433104 its reverse (4013341332401), we get a palindrome (5055672765505).

The spelling of 1042331433104 in words is "one trillion, forty-two billion, three hundred thirty-one million, four hundred thirty-three thousand, one hundred four".