414035131230 has 320 divisors, whose sum is σ = 1292508835200. Its totient is φ = 93148102656.

The previous prime is 414035131199. The next prime is 414035131231. The reversal of 414035131230 is 32131530414.

It is a happy number.

414035131230 is a `hidden beast` number, since 4 + 140 + 3 + 513 + 1 + 2 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414035131194 and 414035131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414035131231) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95463622 + ... + 95467958.

It is an arithmetic number, because the mean of its divisors is an integer number (4039090110).

Almost surely, 2^414035131230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414035131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646254417600).

414035131230 is an abundant number, since it is smaller than the sum of its proper divisors (878473703970).

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

414035131230 is a wasteful number, since it uses less digits than its factorization.

414035131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 414035131230 its reverse (32131530414), we get a palindrome (446166661644).

The spelling of 414035131230 in words is "four hundred fourteen billion, thirty-five million, one hundred thirty-one thousand, two hundred thirty".