1042735802304 has 1008 divisors, whose sum is σ = 3550458471840. Its totient is φ = 268782796800.

The previous prime is 1042735802291. The next prime is 1042735802323. The reversal of 1042735802304 is 4032085372401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10749853584 + ... + 10749853680.

It is an arithmetic number, because the mean of its divisors is an integer number (3522280230).

Almost surely, 2^{1042735802304} is an apocalyptic number.

1042735802304 is a gapful number since it is divisible by the number (14) 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 1042735802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775229235920).

1042735802304 is an abundant number, since it is smaller than the sum of its proper divisors (2507722669536).

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

1042735802304 is a wasteful number, since it uses less digits than its factorization.

1042735802304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 1042735802304 in words is "one trillion, forty-two billion, seven hundred thirty-five million, eight hundred two thousand, three hundred four".