1034121241040 has 160 divisors (see below), whose sum is σ = 2437204723200. Its totient is φ = 408044390400.

The previous prime is 1034121241039. The next prime is 1034121241051. The reversal of 1034121241040 is 401421214301.

1034121241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1034121240997 and 1034121241015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686983774 + ... + 1686984386.

It is an arithmetic number, because the mean of its divisors is an integer number (15232529520).

Almost surely, 2^{1034121241040} is an apocalyptic number.

1034121241040 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 1034121241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218602361600).

1034121241040 is an abundant number, since it is smaller than the sum of its proper divisors (1403083482160).

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

1034121241040 is a wasteful number, since it uses less digits than its factorization.

1034121241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1034121241040 its reverse (401421214301), we get a palindrome (1435542455341).

The spelling of 1034121241040 in words is "one trillion, thirty-four billion, one hundred twenty-one million, two hundred forty-one thousand, forty".