462020126642000 has 160 divisors (see below), whose sum is σ = 1129761444389760. Its totient is φ = 182724379622400.

The previous prime is 462020126641861. The next prime is 462020126642017. The reversal of 462020126642000 is 246621020264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8819339807 + ... + 8819392193.

It is an arithmetic number, because the mean of its divisors is an integer number (7061009027436).

Almost surely, 2^{462020126642000} is an apocalyptic number.

462020126642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462020126642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564880722194880).

462020126642000 is an abundant number, since it is smaller than the sum of its proper divisors (667741317747760).

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

462020126642000 is a wasteful number, since it uses less digits than its factorization.

462020126642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102046 (or 102030 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 462020126642000 its reverse (246621020264), we get a palindrome (462266747662264).

The spelling of 462020126642000 in words is "four hundred sixty-two trillion, twenty billion, one hundred twenty-six million, six hundred forty-two thousand".