1042415040 has 112 divisors (see below), whose sum is σ = 3316528800. Its totient is φ = 277401600.

The previous prime is 1042415029. The next prime is 1042415047. The reversal of 1042415040 is 405142401.

1042415040 = T₂₉₆ + T₂₉₇ + ... + T₁₈₄₄.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1042414998 and 1042415016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042415047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672186 + ... + 673734.

Almost surely, 2^1042415040 is an apocalyptic number.

1042415040 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 1042415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658264400).

1042415040 is an abundant number, since it is smaller than the sum of its proper divisors (2274113760).

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

1042415040 is a wasteful number, since it uses less digits than its factorization.

1042415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1042415040 is about 32286.4528866210. The cubic root of 1042415040 is about 1013.9430348976.

Adding to 1042415040 its reverse (405142401), we get a palindrome (1447557441).

The spelling of 1042415040 in words is "one billion, forty-two million, four hundred fifteen thousand, forty".