420134110000 has 200 divisors, whose sum is σ = 1112853772800. Its totient is φ = 152336160000.

The previous prime is 420134109973. The next prime is 420134110091. The reversal of 420134110000 is 11431024.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39484681 + ... + 39495319.

It is an arithmetic number, because the mean of its divisors is an integer number (5564268864).

Almost surely, 2^420134110000 is an apocalyptic number.

420134110000 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 420134110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556426886400).

420134110000 is an abundant number, since it is smaller than the sum of its proper divisors (692719662800).

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

420134110000 is a wasteful number, since it uses less digits than its factorization.

420134110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11037 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 420134110000 its reverse (11431024), we get a palindrome (420145541024).

The spelling of 420134110000 in words is "four hundred twenty billion, one hundred thirty-four million, one hundred ten thousand".