814374127420 has 96 divisors (see below), whose sum is σ = 2061172753920. Its totient is φ = 264029103360.

The previous prime is 814374127409. The next prime is 814374127423. The reversal of 814374127420 is 24721473418.

It is a super-2 number, since 2×814374127420² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814374127423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156107 + ... + 1722013.

It is an arithmetic number, because the mean of its divisors is an integer number (21470549520).

Almost surely, 2^814374127420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814374127420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030586376960).

814374127420 is an abundant number, since it is smaller than the sum of its proper divisors (1246798626500).

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

814374127420 is a wasteful number, since it uses less digits than its factorization.

814374127420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566483 (or 566481 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 814374127420 in words is "eight hundred fourteen billion, three hundred seventy-four million, one hundred twenty-seven thousand, four hundred twenty".