1042441402100 has 144 divisors (see below), whose sum is σ = 2690080823808. Its totient is φ = 343203394560.

The previous prime is 1042441402087. The next prime is 1042441402117. The reversal of 1042441402100 is 12041442401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444784 + ... + 2042616.

It is an arithmetic number, because the mean of its divisors is an integer number (18681116832).

Almost surely, 2^{1042441402100} is an apocalyptic number.

1042441402100 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 1042441402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345040411904).

1042441402100 is an abundant number, since it is smaller than the sum of its proper divisors (1647639421708).

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

1042441402100 is a wasteful number, since it uses less digits than its factorization.

1042441402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597954 (or 597947 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1042441402100 its reverse (12041442401), we get a palindrome (1054482844501).

The spelling of 1042441402100 in words is "one trillion, forty-two billion, four hundred forty-one million, four hundred two thousand, one hundred".