130401414 has 120 divisors (see below), whose sum is σ = 345962232. Its totient is φ = 36391680.

The previous prime is 130401409. The next prime is 130401457. The reversal of 130401414 is 414104031.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 300942 + ... + 301374.

Almost surely, 2^130401414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130401414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172981116).

130401414 is an abundant number, since it is smaller than the sum of its proper divisors (215560818).

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

130401414 is a wasteful number, since it uses less digits than its factorization.

130401414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130401414 is about 11419.3438515529. The cubic root of 130401414 is about 507.1005717646.

Adding to 130401414 its reverse (414104031), we get a palindrome (544505445).

The spelling of 130401414 in words is "one hundred thirty million, four hundred one thousand, four hundred fourteen".