414122231000 has 128 divisors (see below), whose sum is σ = 991491321600. Its totient is φ = 161838476800.

The previous prime is 414122230969. The next prime is 414122231011. The reversal of 414122231000 is 132221414.

It is a super-2 number, since 2×414122231000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12650654 + ... + 12683346.

It is an arithmetic number, because the mean of its divisors is an integer number (7746025950).

Almost surely, 2^414122231000 is an apocalyptic number.

414122231000 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 414122231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495745660800).

414122231000 is an abundant number, since it is smaller than the sum of its proper divisors (577369090600).

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

414122231000 is a wasteful number, since it uses less digits than its factorization.

414122231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33006 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414122231000 its reverse (132221414), we get a palindrome (414254452414).

The spelling of 414122231000 in words is "four hundred fourteen billion, one hundred twenty-two million, two hundred thirty-one thousand".