1034205040 has 160 divisors (see below), whose sum is σ = 2716826112. Its totient is φ = 362880000.

The previous prime is 1034205031. The next prime is 1034205077. The reversal of 1034205040 is 405024301.

It is a super-2 number, since 2×1034205040² = 2139160129522803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034204999 and 1034205017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5713750 + ... + 5713930.

Almost surely, 2^1034205040 is an apocalyptic number.

1034205040 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 1034205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358413056).

1034205040 is an abundant number, since it is smaller than the sum of its proper divisors (1682621072).

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

1034205040 is a wasteful number, since it uses less digits than its factorization.

1034205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1034205040 is about 32159.0584439284. The cubic root of 1034205040 is about 1011.2740970696.

Adding to 1034205040 its reverse (405024301), we get a palindrome (1439229341).

The spelling of 1034205040 in words is "one billion, thirty-four million, two hundred five thousand, forty".