420141332000 has 192 divisors, whose sum is σ = 1177090203744. Its totient is φ = 146003558400.

The previous prime is 420141331969. The next prime is 420141332027. The reversal of 420141332000 is 233141024.

It can be written as a sum of positive squares in 16 ways, for example, as 100151995024 + 319989336976 = 316468^2 + 565676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 646364 + ... + 1121636.

Almost surely, 2^420141332000 is an apocalyptic number.

420141332000 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 420141332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588545101872).

420141332000 is an abundant number, since it is smaller than the sum of its proper divisors (756948871744).

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

420141332000 is a wasteful number, since it uses less digits than its factorization.

420141332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475328 (or 475310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 420141332000 its reverse (233141024), we get a palindrome (420374473024).

The spelling of 420141332000 in words is "four hundred twenty billion, one hundred forty-one million, three hundred thirty-two thousand".