414013204320330 has 16 divisors (see below), whose sum is σ = 993631690368864. Its totient is φ = 110403521152080.

The previous prime is 414013204320239. The next prime is 414013204320347. The reversal of 414013204320330 is 33023402310414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 13800440144011 = 414013204320330 / (4 + 1 + 4 + 0 + 1 + 3 + 2 + 0 + 4 + 3 + 2 + 0 + 3 + 3 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6900220071976 + ... + 6900220072035.

It is an arithmetic number, because the mean of its divisors is an integer number (62101980648054).

Almost surely, 2^{414013204320330} is an apocalyptic number.

414013204320330 is an abundant number, since it is smaller than the sum of its proper divisors (579618486048534).

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

414013204320330 is a wasteful number, since it uses less digits than its factorization.

414013204320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13800440144021.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 414013204320330 its reverse (33023402310414), we get a palindrome (447036606630744).

The spelling of 414013204320330 in words is "four hundred fourteen trillion, thirteen billion, two hundred four million, three hundred twenty thousand, three hundred thirty".