420010312014 has 192 divisors, whose sum is σ = 1017686255040. Its totient is φ = 129352826880.

The previous prime is 420010312013. The next prime is 420010312027. The reversal of 420010312014 is 410213010024.

420010312014 is a `hidden beast` number, since 420 + 0 + 10 + 31 + 201 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420010312013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138114334 + ... + 138117374.

It is an arithmetic number, because the mean of its divisors is an integer number (5300449245).

Almost surely, 2^420010312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420010312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508843127520).

420010312014 is an abundant number, since it is smaller than the sum of its proper divisors (597675943026).

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

420010312014 is a wasteful number, since it uses less digits than its factorization.

420010312014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3365 counting only the distinct ones).

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

Adding to 420010312014 its reverse (410213010024), we get a palindrome (830223322038).

The spelling of 420010312014 in words is "four hundred twenty billion, ten million, three hundred twelve thousand, fourteen".