420135423001000 has 256 divisors, whose sum is σ = 1125579199979520. Its totient is φ = 143788026240000.

The previous prime is 420135423000989. The next prime is 420135423001037. The reversal of 420135423001000 is 100324531024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11422602610 + ... + 11422639390.

It is an arithmetic number, because the mean of its divisors is an integer number (4396793749920).

Almost surely, 2^{420135423001000} is an apocalyptic number.

420135423001000 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 420135423001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562789599989760).

420135423001000 is an abundant number, since it is smaller than the sum of its proper divisors (705443776978520).

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

420135423001000 is a wasteful number, since it uses less digits than its factorization.

420135423001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39693 (or 39679 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 420135423001000 its reverse (100324531024), we get a palindrome (420235747532024).

The spelling of 420135423001000 in words is "four hundred twenty trillion, one hundred thirty-five billion, four hundred twenty-three million, one thousand".