420201102024 has 96 divisors (see below), whose sum is σ = 1241630208000. Its totient is φ = 127320647040.

The previous prime is 420201102023. The next prime is 420201102053.

420201102024 is a `hidden beast` number, since 420 + 201 + 1 + 0 + 20 + 24 = 666.

420201102024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×420201102024² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420201101988 and 420201102006.

It is not an unprimeable number, because it can be changed into a prime (420201102023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10116082 + ... + 10157534.

It is an arithmetic number, because the mean of its divisors is an integer number (12933648000).

Almost surely, 2^420201102024 is an apocalyptic number.

420201102024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420201102024 is an abundant number, since it is smaller than the sum of its proper divisors (821429105976).

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

420201102024 is a wasteful number, since it uses less digits than its factorization.

420201102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54275 (or 54268 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 420201 and 102024, that added together give a palindrome (522225).

The spelling of 420201102024 in words is "four hundred twenty billion, two hundred one million, one hundred two thousand, twenty-four".