420001234000 has 40 divisors (see below), whose sum is σ = 1015562988648. Its totient is φ = 168000492800.

The previous prime is 420001233989. The next prime is 420001234007. The reversal of 420001234000 is 432100024.

It can be written as a sum of positive squares in 4 ways, for example, as 66129424 + 419935104576 = 8132^2 + 648024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420001234007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104998309 + ... + 105002308.

Almost surely, 2^420001234000 is an apocalyptic number.

420001234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420001234000 is an abundant number, since it is smaller than the sum of its proper divisors (595561754648).

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

420001234000 is a wasteful number, since it uses less digits than its factorization.

420001234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210000640 (or 210000624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 420001234000 its reverse (432100024), we get a palindrome (420433334024).

The spelling of 420001234000 in words is "four hundred twenty billion, one million, two hundred thirty-four thousand".