414102040 has 96 divisors (see below), whose sum is σ = 1042664400. Its totient is φ = 146791680.

The previous prime is 414102019. The next prime is 414102041. The reversal of 414102040 is 40201414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813306 + ... + 813814.

Almost surely, 2^414102040 is an apocalyptic number.

414102040 is a gapful number since it is divisible by the number (40) 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 414102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521332200).

414102040 is an abundant number, since it is smaller than the sum of its proper divisors (628562360).

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

414102040 is a wasteful number, since it uses less digits than its factorization.

414102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 414102040 is about 20349.4972910881. The cubic root of 414102040 is about 745.3652188857.

Adding to 414102040 its reverse (40201414), we get a palindrome (454303454).

The spelling of 414102040 in words is "four hundred fourteen million, one hundred two thousand, forty".