414142001130 has 128 divisors (see below), whose sum is σ = 1168213487616. Its totient is φ = 92634912000.

The previous prime is 414142001107. The next prime is 414142001177. The reversal of 414142001130 is 31100241414.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414142001097 and 414142001106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10477905 + ... + 10517355.

It is an arithmetic number, because the mean of its divisors is an integer number (9126667872).

Almost surely, 2^414142001130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414142001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584106743808).

414142001130 is an abundant number, since it is smaller than the sum of its proper divisors (754071486486).

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

414142001130 is a wasteful number, since it uses less digits than its factorization.

414142001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41932.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 414142001130 its reverse (31100241414), we get a palindrome (445242242544).

The spelling of 414142001130 in words is "four hundred fourteen billion, one hundred forty-two million, one thousand, one hundred thirty".