420146407786662 has 96 divisors (see below), whose sum is σ = 995268422154240. Its totient is φ = 127518847706880.

The previous prime is 420146407786643. The next prime is 420146407786667. The reversal of 420146407786662 is 266687704641024.

It is a super-3 number, since 3×420146407786662³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420146407786662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420146407786667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23469639 + ... + 37297677.

It is an arithmetic number, because the mean of its divisors is an integer number (10367379397440).

Almost surely, 2^{420146407786662} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420146407786662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497634211077120).

420146407786662 is an abundant number, since it is smaller than the sum of its proper divisors (575122014367578).

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

420146407786662 is a wasteful number, since it uses less digits than its factorization.

420146407786662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831298 (or 13831295 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 420146407786662 in words is "four hundred twenty trillion, one hundred forty-six billion, four hundred seven million, seven hundred eighty-six thousand, six hundred sixty-two".