420154400000 has 108 divisors (see below), whose sum is σ = 1048269367404. Its totient is φ = 168061440000.

The previous prime is 420154399991. The next prime is 420154400021. The reversal of 420154400000 is 4451024.

It can be written as a sum of positive squares in 6 ways, for example, as 314066093056 + 106088306944 = 560416^2 + 325712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537404 + ... + 1062596.

Almost surely, 2^420154400000 is an apocalyptic number.

420154400000 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 420154400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524134683702).

420154400000 is an abundant number, since it is smaller than the sum of its proper divisors (628114967404).

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

420154400000 is an frugal number, since it uses more digits than its factorization.

420154400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525234 (or 525200 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 420154400000 its reverse (4451024), we get a palindrome (420158851024).

The spelling of 420154400000 in words is "four hundred twenty billion, one hundred fifty-four million, four hundred thousand".