414410040 has 128 divisors (see below), whose sum is σ = 1506988800. Its totient is φ = 100460160.

The previous prime is 414410039. The next prime is 414410047. The reversal of 414410040 is 40014414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414409995 and 414410022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414410047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5562 + ... + 29321.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 2^414410040 is an apocalyptic number.

414410040 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 414410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753494400).

414410040 is an abundant number, since it is smaller than the sum of its proper divisors (1092578760).

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

414410040 is a wasteful number, since it uses less digits than its factorization.

414410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34914 (or 34904 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414410040 is about 20357.0636389436. The cubic root of 414410040 is about 745.5499685141.

Adding to 414410040 its reverse (40014414), we get a palindrome (454424454).

The spelling of 414410040 in words is "four hundred fourteen million, four hundred ten thousand, forty".