420040024440 has 192 divisors, whose sum is σ = 1305361980000. Its totient is φ = 108089579520.

The previous prime is 420040024429. The next prime is 420040024463. The reversal of 420040024440 is 44420040024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420040024440.

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 47 ways as a sum of consecutive naturals, for example, 23656686 + ... + 23674434.

Almost surely, 2^420040024440 is an apocalyptic number.

420040024440 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 420040024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652680990000).

420040024440 is an abundant number, since it is smaller than the sum of its proper divisors (885321955560).

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

420040024440 is a wasteful number, since it uses less digits than its factorization.

420040024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17873 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 420040024440 its reverse (44420040024), we get a palindrome (464460064464).

The spelling of 420040024440 in words is "four hundred twenty billion, forty million, twenty-four thousand, four hundred forty".