1042941100032 has 720 divisors, whose sum is σ = 3415708099440. Its totient is φ = 304405807104.

The previous prime is 1042941100031. The next prime is 1042941100049. The reversal of 1042941100032 is 2300011492401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33832452096 + 1009108647936 = 183936^2 + 1004544^2 .

It is a super-2 number, since 2×1042941100032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042941099969 and 1042941100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042941100031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4058136448 + ... + 4058136704.

It is an arithmetic number, because the mean of its divisors is an integer number (4744039027).

Almost surely, 2^{1042941100032} is an apocalyptic number.

1042941100032 is a gapful number since it is divisible by the number (12) 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 1042941100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707854049720).

1042941100032 is an abundant number, since it is smaller than the sum of its proper divisors (2372766999408).

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

1042941100032 is a wasteful number, since it uses less digits than its factorization.

1042941100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1042941100032 its reverse (2300011492401), we get a palindrome (3342952592433).

The spelling of 1042941100032 in words is "one trillion, forty-two billion, nine hundred forty-one million, one hundred thousand, thirty-two".