414141000 has 512 divisors, whose sum is σ = 1673118720. Its totient is φ = 82944000.

The previous prime is 414140933. The next prime is 414141047. The reversal of 414141000 is 141414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10100980 + ... + 10101020.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^414141000 is an apocalyptic number.

414141000 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 414141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

414141000 is an abundant number, since it is smaller than the sum of its proper divisors (1258977720).

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

414141000 is a wasteful number, since it uses less digits than its factorization.

414141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 414141000 is about 20350.4545403782. The cubic root of 414141000 is about 745.3885935740.

Adding to 414141000 its reverse (141414), we get a palindrome (414282414).

The spelling of 414141000 in words is "four hundred fourteen million, one hundred forty-one thousand".