420410014024 has 256 divisors, whose sum is σ = 1079334305280. Its totient is φ = 148227563520.

The previous prime is 420410014019. The next prime is 420410014027.

420410014024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420410013986 and 420410014004.

It is not an unprimeable number, because it can be changed into a prime (420410014027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101130954 + ... + 101135110.

It is an arithmetic number, because the mean of its divisors is an integer number (4216149630).

Almost surely, 2^420410014024 is an apocalyptic number.

420410014024 is a gapful number since it is divisible by the number (44) 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 420410014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539667152640).

420410014024 is an abundant number, since it is smaller than the sum of its proper divisors (658924291256).

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

420410014024 is a wasteful number, since it uses less digits than its factorization.

420410014024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 4204100 and 14024, that added together give a palindrome (4218124).

The spelling of 420410014024 in words is "four hundred twenty billion, four hundred ten million, fourteen thousand, twenty-four".