1042125040 has 80 divisors (see below), whose sum is σ = 2649446496. Its totient is φ = 378060800.

The previous prime is 1042125013. The next prime is 1042125079. The reversal of 1042125040 is 405212401.

1042125040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1042124999 and 1042125017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457344 + ... + 459616.

Almost surely, 2^1042125040 is an apocalyptic number.

1042125040 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 1042125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324723248).

1042125040 is an abundant number, since it is smaller than the sum of its proper divisors (1607321456).

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

1042125040 is a wasteful number, since it uses less digits than its factorization.

1042125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1042125040 is about 32281.9615265244. The cubic root of 1042125040 is about 1013.8489998154.

Adding to 1042125040 its reverse (405212401), we get a palindrome (1447337441).

The spelling of 1042125040 in words is "one billion, forty-two million, one hundred twenty-five thousand, forty".