420123336240 has 160 divisors (see below), whose sum is σ = 1346619810816. Its totient is φ = 108278609920.

The previous prime is 420123336209. The next prime is 420123336263. The reversal of 420123336240 is 42633321024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420123336198 and 420123336207.

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, 853369 + ... + 1252391.

Almost surely, 2^420123336240 is an apocalyptic number.

420123336240 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 420123336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673309905408).

420123336240 is an abundant number, since it is smaller than the sum of its proper divisors (926496474576).

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

420123336240 is a wasteful number, since it uses less digits than its factorization.

420123336240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399187 (or 399181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 420123336240 its reverse (42633321024), we get a palindrome (462756657264).

The spelling of 420123336240 in words is "four hundred twenty billion, one hundred twenty-three million, three hundred thirty-six thousand, two hundred forty".