1040414000 has 80 divisors (see below), whose sum is σ = 2522728416. Its totient is φ = 415008000.

The previous prime is 1040413999. The next prime is 1040414003. The reversal of 1040414000 is 4140401.

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

It is a super-2 number, since 2×1040414000² = 2164922582792000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040414003) 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, 1321607 + ... + 1322393.

Almost surely, 2^1040414000 is an apocalyptic number.

1040414000 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 1040414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261364208).

1040414000 is an abundant number, since it is smaller than the sum of its proper divisors (1482314416).

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

1040414000 is an equidigital number, since it uses as much as digits as its factorization.

1040414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1040414000 is about 32255.4491520425. The cubic root of 1040414000 is about 1013.2938244445.

Adding to 1040414000 its reverse (4140401), we get a palindrome (1044554401).

The spelling of 1040414000 in words is "one billion, forty million, four hundred fourteen thousand".