420335315040 has 192 divisors, whose sum is σ = 1418966470656. Its totient is φ = 104318134272.

The previous prime is 420335315027. The next prime is 420335315051. The reversal of 420335315040 is 40513533024.

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 = 420335314989 and 420335315007.

It is a congruent number.

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, 106032 + ... + 922991.

It is an arithmetic number, because the mean of its divisors is an integer number (7390450368).

Almost surely, 2^420335315040 is an apocalyptic number.

420335315040 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 420335315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709483235328).

420335315040 is an abundant number, since it is smaller than the sum of its proper divisors (998631155616).

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

420335315040 is a wasteful number, since it uses less digits than its factorization.

420335315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029101 (or 1029093 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 420335315040 its reverse (40513533024), we get a palindrome (460848848064).

The spelling of 420335315040 in words is "four hundred twenty billion, three hundred thirty-five million, three hundred fifteen thousand, forty".