420412101214024 has 64 divisors (see below), whose sum is σ = 810407493244800. Its totient is φ = 204385661760000.

The previous prime is 420412101213977. The next prime is 420412101214031.

420412101214024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420412101213983 and 420412101214001.

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, 41538924 + ... + 50658724.

It is an arithmetic number, because the mean of its divisors is an integer number (12662617081950).

Almost surely, 2^{420412101214024} is an apocalyptic number.

It is an amenable number.

420412101214024 is a deficient number, since it is larger than the sum of its proper divisors (389995392030776).

420412101214024 is a wasteful number, since it uses less digits than its factorization.

420412101214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120934 (or 9120930 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 42041210 and 1214024, that added together give a palindrome (43255234).

The spelling of 420412101214024 in words is "four hundred twenty trillion, four hundred twelve billion, one hundred one million, two hundred fourteen thousand, twenty-four".