420559813440 has 672 divisors, whose sum is σ = 1634704920576. Its totient is φ = 98464481280.

The previous prime is 420559813433. The next prime is 420559813483. The reversal of 420559813440 is 44318955024.

420559813440 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 598 + 13 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164472642 + ... + 164475198.

It is an arithmetic number, because the mean of its divisors is an integer number (2432596608).

Almost surely, 2^420559813440 is an apocalyptic number.

420559813440 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 420559813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817352460288).

420559813440 is an abundant number, since it is smaller than the sum of its proper divisors (1214145107136).

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

420559813440 is a wasteful number, since it uses less digits than its factorization.

420559813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 420559813440 in words is "four hundred twenty billion, five hundred fifty-nine million, eight hundred thirteen thousand, four hundred forty".