414342040 has 96 divisors (see below), whose sum is σ = 1091458800. Its totient is φ = 141146880.

The previous prime is 414342029. The next prime is 414342041. The reversal of 414342040 is 40243414.

It is a super-2 number, since 2×414342040² = 343358652222723200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414342041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350250 + ... + 351430.

Almost surely, 2^414342040 is an apocalyptic number.

414342040 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 414342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545729400).

414342040 is an abundant number, since it is smaller than the sum of its proper divisors (677116760).

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

414342040 is a wasteful number, since it uses less digits than its factorization.

414342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 414342040 is about 20355.3933884855. The cubic root of 414342040 is about 745.5091875112.

Adding to 414342040 its reverse (40243414), we get a palindrome (454585454).

The spelling of 414342040 in words is "four hundred fourteen million, three hundred forty-two thousand, forty".