414355101233145 has 32 divisors (see below), whose sum is σ = 664390127952000. Its totient is φ = 220515523169280.

The previous prime is 414355101233131. The next prime is 414355101233147. The reversal of 414355101233145 is 541332101553414.

It is not a de Polignac number, because 414355101233145 - 2⁵ = 414355101233113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414355101233097 and 414355101233106.

It is not an unprimeable number, because it can be changed into a prime (414355101233147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49413727 + ... + 57187643.

It is an arithmetic number, because the mean of its divisors is an integer number (20762191498500).

Almost surely, 2^{414355101233145} is an apocalyptic number.

It is an amenable number.

414355101233145 is a deficient number, since it is larger than the sum of its proper divisors (250035026718855).

414355101233145 is a wasteful number, since it uses less digits than its factorization.

414355101233145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781545.

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 414355101233145 its reverse (541332101553414), we get a palindrome (955687202786559).

The spelling of 414355101233145 in words is "four hundred fourteen trillion, three hundred fifty-five billion, one hundred one million, two hundred thirty-three thousand, one hundred forty-five".