414241040 has 240 divisors, whose sum is σ = 1151176320. Its totient is φ = 137871360.

The previous prime is 414241031. The next prime is 414241067. The reversal of 414241040 is 40142414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10103420 + ... + 10103460.

It is an arithmetic number, because the mean of its divisors is an integer number (4796568).

Almost surely, 2^414241040 is an apocalyptic number.

414241040 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 414241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575588160).

414241040 is an abundant number, since it is smaller than the sum of its proper divisors (736935280).

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

414241040 is a wasteful number, since it uses less digits than its factorization.

414241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414241040 is about 20352.9123223189. The cubic root of 414241040 is about 745.4486074915.

Adding to 414241040 its reverse (40142414), we get a palindrome (454383454).

The spelling of 414241040 in words is "four hundred fourteen million, two hundred forty-one thousand, forty".