420401123142 has 384 divisors, whose sum is σ = 1167965568000. Its totient is φ = 99153331200.

The previous prime is 420401123117. The next prime is 420401123213. The reversal of 420401123142 is 241321104024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 911932792 + ... + 911933252.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577000).

Almost surely, 2^420401123142 is an apocalyptic number.

420401123142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420401123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583982784000).

420401123142 is an abundant number, since it is smaller than the sum of its proper divisors (747564444858).

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

420401123142 is a wasteful number, since it uses less digits than its factorization.

420401123142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420401123142 its reverse (241321104024), we get a palindrome (661722227166).

The spelling of 420401123142 in words is "four hundred twenty billion, four hundred one million, one hundred twenty-three thousand, one hundred forty-two".