420532514343040 has 128 divisors (see below), whose sum is σ = 1096811355816000. Its totient is φ = 152909526282240.

The previous prime is 420532514343023. The next prime is 420532514343059. The reversal of 420532514343040 is 40343415235024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 420532514342984 and 420532514343002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92604271 + ... + 97039249.

Almost surely, 2^{420532514343040} is an apocalyptic number.

420532514343040 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 420532514343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548405677908000).

420532514343040 is an abundant number, since it is smaller than the sum of its proper divisors (676278841472960).

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

420532514343040 is a wasteful number, since it uses less digits than its factorization.

420532514343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448478 (or 4448466 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 420532514343040 its reverse (40343415235024), we get a palindrome (460875929578064).

The spelling of 420532514343040 in words is "four hundred twenty trillion, five hundred thirty-two billion, five hundred fourteen million, three hundred forty-three thousand, forty".